共查询到20条相似文献,搜索用时 62 毫秒
1.
S. S. Volosivets 《P-Adic Numbers, Ultrametric Analysis, and Applications》2017,9(3):236-241
For rough Hausdorff type operator defined on p-adic linear space Q p n and its commutator with symbol from Lipschitz space, we give sufficient conditions of their boundedness from one Lorentz space into another. 相似文献
2.
Spectral invariant subalgebras of reduced groupoid <Emphasis Type="Italic">C</Emphasis>*-algebras 下载免费PDF全文
Cheng Jun Hou 《数学学报(英文版)》2017,33(4):526-544
We introduce the notion of property (RD) for a locally compact, Hausdorff and r-discrete groupoid G, and show that the set S 2 l (G) of rapidly decreasing functions on G with respect to a continuous length function l is a dense spectral invariant and Fréchet *-subalgebra of the reduced groupoid C*-algebra C r * (G) of G when G has property (RD) with respect to l, so the K-theories of both algebras are isomorphic under inclusion. Each normalized cocycle c on G, together with an invariant probability measure on the unit space G 0 of G, gives rise to a canonical map τ c on the algebra C c (G) of complex continuous functions with compact support on G. We show that the map τ c can be extended continuously to S 2 l (G) and plays the same role as an n-trace on C r * (G) when G has property (RD) and c is of polynomial growth with respect to l, so the Connes’ fundament paring between the K-theory and the cyclic cohomology gives us the K-theory invariants on C r * (G). 相似文献
3.
Let G be a 2-edge-connected simple graph on n vertices. For an edge e = uv ∈ E(G), define d(e) = d(u) + d(v). Let F denote the set of all simple 2-edge-connected graphs on n ≥ 4 vertices such that G ∈ F if and only if d(e) + d(e’) ≥ 2n for every pair of independent edges e, e’ of G. We prove in this paper that for each G ∈ F, G is not Z 3-connected if and only if G is one of K 2,n?2, K 3,n?3, K 2,n?2 + , K 3,n?3 + or one of the 16 specified graphs, which generalizes the results of X. Zhang et al. [Discrete Math., 2010, 310: 3390–3397] and G. Fan and X. Zhou [Discrete Math., 2008, 308: 6233–6240]. 相似文献
4.
S. S. Volosivets M. A. Kuznetsova 《P-Adic Numbers, Ultrametric Analysis, and Applications》2018,10(4):312-321
We consider a new class of functions on the p-adic linear space ? p n for which a Fourier transform can be defined.We prove equalities of Parseval type, an inversion formula and a sufficient condition for a function to be represented as this Fourier transform. Also we give a sharp estimate of the L2(? p n ) modulus of continuity in terms of Fourier transform generalizing the result of S. S. Platonov in the case n = 1. Finally we prove a generalization of this result and its converse for Lq(? p n ) with appropriate q. 相似文献
5.
A subgroup is called c-semipermutable in G if A has a minimal supplement T in G such that for every subgroup T 1 of T there is an element x ∈ T satisfying AT 1 x = T 1 x A. We obtain a few results about the c-semipermutable subgroups and use them to determine the structures of some finite groups. 相似文献
6.
Let R be a subring ring of Q. We reserve the symbol p for the least prime which is not a unit in R; if R ?Q, then p=∞. Denote by DGL n np , n≥1, the category of (n-1)-connected np-dimensional differential graded free Lie algebras over R. In [1] D. Anick has shown that there is a reasonable concept of homotopy in the category DGL n np . In this work we intend to answer the following two questions: Given an object (L(V), ?) in DGL n 3n+2 and denote by S(L(V), ?) the class of objects homotopy equivalent to (L(V), ?). How we can characterize a free dgl to belong to S(L(V), ?)? Fix an object (L(V), ?) in DGL n 3n+2 . How many homotopy equivalence classes of objects (L(W), δ) in DGL n 3n+2 such that H * (W, d′)?H * (V, d) are there? Note that DGL n 3n+2 is a subcategory of DGL n np when p>3. Our tool to address this problem is the exact sequence of Whitehead associated with a free dgl. 相似文献
7.
Commutator of Riesz potential in <Emphasis Type="Italic">p</Emphasis>-adic generalized Morrey spaces
Suppose that I p α is the p-adic Riesz potential. In this paper, we established the boundedness of I p α on the p-adic generalized Morrey spaces, as well as the boundedness of the commutators generated by the p-adic Riesz potential I p α and p-adic generalized Campanato functions. 相似文献
8.
V. M. Badkov 《Proceedings of the Steklov Institute of Mathematics》2009,264(1):39-43
Let {p n (t)} n=0 t8 be a system of algebraic polynomials orthonormal on the segment [?1, 1] with a weight p(t); let {x n,ν (p) } ν=1 n be zeros of a polynomial p n (t) (x x,ν (p) = cosθ n,ν (p) ; 0 < θ n,1 (p) < θ n,2 (p) < ... < θ n,n (p) < π). It is known that, for a wide class of weights p(t) containing the Jacobi weight, the quantities θ n,1 (p) and 1 ? x n,1 (p) coincide in order with n ?1 and n ?2, respectively. In the present paper, we prove that, if the weight p(t) has the form p(t) = 4(1 ? t 2)?1{ln2[(1 + t)/(1 ? t)] + π 2}?1, then the following asymptotic formulas are valid as n → ∞:
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$$\theta _{n,1}^{(p)} = \frac{{\sqrt 2 }}{{n\sqrt {\ln (n + 1)} }}\left[ {1 + {\rm O}\left( {\frac{1}{{\ln (n + 1)}}} \right)} \right],x_{n,1}^{(p)} = 1 - \left( {\frac{1}{{n^2 \ln (n + 1)}}} \right) + O\left( {\frac{1}{{n^2 \ln ^2 (n + 1)}}} \right).$$
9.
A k-total coloring of a graph G is a mapping ?: V (G) ? E(G) → {1; 2,..., k} such that no two adjacent or incident elements in V (G) ? E(G) receive the same color. Let f(v) denote the sum of the color on the vertex v and the colors on all edges incident with v: We say that ? is a k-neighbor sum distinguishing total coloring of G if f(u) 6 ≠ f(v) for each edge uv ∈ E(G): Denote χ Σ ″ (G) the smallest value k in such a coloring of G: Pil?niak and Wo?niak conjectured that for any simple graph with maximum degree Δ(G), χ Σ ″ ≤ Δ(G)+3. In this paper, by using the famous Combinatorial Nullstellensatz, we prove that for K 4-minor free graph G with Δ(G) > 5; χ Σ ″ = Δ(G) + 1 if G contains no two adjacent Δ-vertices, otherwise, χ Σ ″ (G) = Δ(G) + 2. 相似文献
10.
Index sets of decidable models 总被引:1,自引:1,他引:0
E. B. Fokina 《Siberian Mathematical Journal》2007,48(5):939-948
We study the index sets of the class of d-decidable structures and of the class of d-decidable countably categorical structures, where d is an arbitrary arithmetical Turing degree. It is proved that the first of them is m-complete ∑ 3 0, d , and the second is m-complete ∑ 3 0, d \∑ 3 0, d in the universal computable numbering of computable structures for the language with one binary predicate. 相似文献
11.
Let G be a connected reductive algebraic group over ?, and let Λ G + be the monoid of dominant weights of G. We construct integrable crystals BG(λ), λ ∈ Λ G + , using the geometry of generalized transversal slices in the affine Grassmannian of the Langlands dual group of G. We also construct tensor product maps \(P{\lambda _1},{\lambda _2}:{B^G}({\lambda _2}) \to {B^G}({\lambda _1} + {\lambda _2}) \cup \{ 0\} \) in terms of multiplication in generalized transversal slices. Let L ? G be a Levi subgroup of G. We describe the functor Res L G : Rep(G) → Rep(L) of restriction to L in terms of the hyperbolic localization functors for generalized transversal slices. 相似文献
12.
A. G. Chentsov 《Proceedings of the Steklov Institute of Mathematics》2017,296(1):43-59
Let a sequence of d-dimensional vectors n k = (n k 1 , n k 2 ,..., n k d ) with positive integer coordinates satisfy the condition n k j = α j m k +O(1), k ∈ ?, 1 ≤ j ≤ d, where α 1 > 0,..., α d > 0 and {m k } k=1 ∞ is an increasing sequence of positive integers. Under some conditions on a function φ: [0,+∞) → [0,+∞), it is proved that, if the sequence of Fourier sums \({S_{{m_k}}}\) (g, x) converges almost everywhere for any function g ∈ φ(L)([0, 2π)), then, for any d ∈ ? and f ∈ φ(L)(ln+ L) d?1([0, 2π) d ), the sequence \({S_{{n_k}}}\) (f, x) of rectangular partial sums of the multiple trigonometric Fourier series of the function f and the corresponding sequences of partial sums of all conjugate series converge almost everywhere. 相似文献
13.
Let \(\mathcal{F}\) be a class of groups and G a finite group. We call a set Σ of subgroups of G a G-covering subgroup system for \(\mathcal{F}\) if \(G\in \mathcal{F}\) whenever \(\Sigma \subseteq \mathcal{F}\). Let p be any prime dividing |G| and P a Sylow p-subgroup of G. Then we write Σ p to denote the set of subgroups of G which contains at least one supplement to G of each maximal subgroup of P. We prove that the sets Σ p and Σ p ∪Σ q , where q≠p, are G-covering subgroup systems for many classes of finite groups. 相似文献
14.
An r-acyclic edge chromatic number of a graph G, denoted by a r ′ r(G), is the minimum number of colors used to produce an edge coloring of the graph such that adjacent edges receive different colors and every cycle C has at least min {|C|, r} colors. We prove that a r ′ r(G) ≤ (4r + 1)Δ(G), when the girth of the graph G equals to max{50, Δ(G)} and 4 ≤ r ≤ 7. If we relax the restriction of the girth to max {220, Δ(G)}, the upper bound of a r ′ r(G) is not larger than (2r + 5)Δ(G) with 4 ≤ r ≤ 10. 相似文献
15.
D. V. Zakablukov 《Moscow University Mathematics Bulletin》2016,71(3):89-97
The paper discusses the asymptotic depth of a reversible circuits consisting of NOT, CNOT and 2-CNOT gates. The reversible circuit depth function D(n, q) is introduced for a circuit implementing a mapping f: Z2n → Z2n as a function of n and the number q of additional inputs. It is proved that for the case of implementation of a permutation from A(Z2n) with a reversible circuit having no additional inputs the depth is bounded as D(n, 0) ? 2n/(3log2n). It is also proved that for the case of transformation f: Z2n → Z2n with a reversible circuit having q0 ~ 2n additional inputs the depth is bounded as D(n,q0) ? 3n. 相似文献
16.
David Ginzburg 《Israel Journal of Mathematics》2018,226(1):447-474
Let G(r) denote the metaplectic covering group of the linear algebraic group G. In this paper we study conditions on unramified representations of the group G(r) not to have a nonzero Whittaker function. We state a general Conjecture about the possible unramified characters χ such that the unramified subrepresentation of \(Ind_{{B^{\left( r \right)}}}^{{G^{\left( r \right)}}}{X^{\delta _B^{1/2}}}\) will have no nonzero Whittaker function. We prove this Conjecture for the groups GL n ( r) with r ≥ n ? 1, and for the exceptional groups G 2 ( r) when r ≠ 2. 相似文献
17.
Let p ∈(0, 1], q ∈(0, ∞] and A be a general expansive matrix on Rn. We introduce the anisotropic Hardy-Lorentz space H~(p,q)_A(R~n) associated with A via the non-tangential grand maximal function and then establish its various real-variable characterizations in terms of the atomic and the molecular decompositions, the radial and the non-tangential maximal functions, and the finite atomic decompositions. All these characterizations except the ∞-atomic characterization are new even for the classical isotropic Hardy-Lorentz spaces on Rn.As applications, we first prove that Hp,q A(Rn) is an intermediate space between H~(p1,q1)_A(Rn) and H~(p2,q2)_A(R~n) with 0 p1 p p2 ∞ and q1, q, q2 ∈(0, ∞], and also between H~(p,q1)_A(Rn) and H~(p,q2)_A(R~n) with p ∈(0, ∞)and 0 q1 q q2 ∞ in the real method of interpolation. We then establish a criterion on the boundedness of sublinear operators from H~(p,q)_A(R~n) into a quasi-Banach space; moreover, we obtain the boundedness of δ-type Calder′on-Zygmund operators from H~(p,∞)_A(R~n) to the weak Lebesgue space L~(p,∞)(R~n)(or to H~p_A(R~n)) in the ln λcritical case, from H~(p,q)_A(R~n) to L~(p,q)(R~n)(or to H~(p,q)_A(R~n)) with δ∈(0,(lnλ)/(ln b)], p ∈(1/(1+,δ),1] and q ∈(0, ∞], as well as the boundedness of some Calderon-Zygmund operators from H~(p,q)_A(R~n) to L~(p,∞)(R~n), where b := | det A|,λ_:= min{|λ| : λ∈σ(A)} and σ(A) denotes the set of all eigenvalues of A. 相似文献
18.
Generalized fractional integrals in <Emphasis Type="Italic">p</Emphasis>-adic morrey and Herz spaces
For Riesz potential I β (f) on p-adic linear space Q p n and its modification \(\widetilde{I^\beta }(f)\) we give sufficient conditions of their boundedness from radialMorrey space to anotherMorrey or Campanato space. Also we study the boundedness of modified Riesz potential \(\widetilde{I^\beta }(f)\) from Herz space to special Campanato spaces. 相似文献
19.
J. A. Tussupov 《Siberian Advances in Mathematics》2007,17(1):49-61
In the present article, we prove the following four assertions: (1) For every computable successor ordinal α, there exists a Δ α 0 -categorical integral domain (commutative semigroup) which is not relatively Δ α 0 -categorical (i.e., no formally Σ α 0 Scott family exists for such a structure). (2) For every computable successor ordinal α, there exists an intrinsically Σ α 0 -relation on the universe of a computable integral domain (commutative semigroup) which is not a relatively intrinsically Σ α 0 -relation. (3) For every computable successor ordinal α and finite n, there exists an integral domain (commutative semigroup) whose Δ α 0 -dimension is equal to n. (4) For every computable successor ordinal α, there exists an integral domain (commutative semigroup) with presentations only in the degrees of sets X such that Δ α 0 (X) is not Δ α 0 . In particular, for every finite n, there exists an integral domain (commutative semigroup) with presentations only in the degrees that are not n-low. 相似文献
20.
We consider the families of polynomials P = { P n (x)} n=0 ∞ and Q = { Q n (x)} n=0 ∞ orthogonal on the real line with respect to the respective probability measures μ and ν. We assume that { Q n (x)} n=0 ∞ and {P n (x)} n=0 ∞ are connected by linear relations. In the case k = 2, we describe all pairs (P,Q) for which the algebras A P and A Q of generalized oscillators generated by { Qn(x)} n=0 ∞ and { Pn(x)} n=0 ∞ coincide. We construct generalized oscillators corresponding to pairs (P,Q) for arbitrary k ≥ 1. 相似文献