共查询到20条相似文献,搜索用时 78 毫秒
1.
《Journal of Approximation Theory》2003,120(2):185-216
The density of polynomials is straightforward to prove in Sobolev spaces Wk,p((a,b)), but there exist only partial results in weighted Sobolev spaces; here we improve some of these theorems. The situation is more complicated in infinite intervals, even for weighted Lp spaces; besides, in the present paper we have proved some other results for weighted Sobolev spaces in infinite intervals. 相似文献
2.
Shuichi Sato 《Journal of Mathematical Analysis and Applications》2003,278(2):308-323
We prove some weighted estimates for certain Littlewood-Paley operators on the weighted Hardy spaces Hwp (0<p?1) and on the weighted Lp spaces. We also prove some weighted estimates for the Bochner-Riesz operators and the spherical means. 相似文献
3.
4.
Maria De Natividade 《Monatshefte für Mathematik》2011,164(1):87-114
Democracy functions of wavelet admissible bases are computed for weighted Orlicz Spaces L ??(w) in terms of the fundamental function of L ??(w). In particular, we prove that these bases are greedy in L ??(w) if and only if L ??(w) =?L p (w), 1?<?p?<???. Also, sharp embeddings for the approximation spaces are given in terms of weighted discrete Lorentz spaces. For L p (w) the approximation spaces are identified with weighted Besov spaces. 相似文献
5.
We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H ∞. Applications for composition operators on weighted Bloch spaces are given. 相似文献
6.
Elke Wolf 《Journal of Mathematical Analysis and Applications》2007,329(1):530-546
We consider weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type H∞. We study when these spaces have Stefan Heinrich's density condition and when they are distinguished. 相似文献
7.
Chérif Amrouche Florian Bonzom 《Journal of Mathematical Analysis and Applications》2008,338(1):124-140
In [C. Amrouche, V. Girault, J. Giroire, Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator. An approach in weighted Sobolev spaces, J. Math. Pures Appl. 76 (1997) 55-81], authors study Dirichlet and Neumann problems for the Laplace operator in exterior domains of Rn. This paper extends this study to the resolution of a mixed exterior Laplace's problem. Here, we give existence, unicity and regularity results in Lp's theory with 1<p<∞, in weighted Sobolev spaces. 相似文献
8.
We prove some sharp Hardy inequality associated with the gradient ? ?? = (? x ,|x| ?? ? y ) by a direct and simple approach. Moreover, similar method is applied to obtain some weighted sharp Rellich inequality related to the Grushin operator in the setting of L p . We also get some weighted Hardy and Rellich type inequalities related to a class of Greiner type operators. 相似文献
9.
Evgeny AbakumovAlexander Borichev 《Journal of Functional Analysis》2002,188(1):1-26
We construct right shift invariant subspaces of index n, 1?n?∞, in ?p spaces, 2<p<∞, and in weighted ?p spaces. 相似文献
10.
Frédéric Bernicot 《Journal of Functional Analysis》2008,255(7):1761-1796
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L1 and some results about interpolation between these spaces and the Lebesgue spaces. We also obtain some results on weighted norm inequalities. Finally we present partial results in order to understand a characterization of the duals of Hardy spaces. 相似文献
11.
Stevo Stević 《Siberian Mathematical Journal》2009,50(1):167-180
We study the compactness of the Hardy-Littlewood operator on several spaces of harmonic functions on the unit ball in ? n such as: a-Bloch, weighted Hardy, weighted Bergman, Besov, BMO p , and Dirichlet spaces. 相似文献
12.
Martha GUZMáN-PARTIDA 《Frontiers of Mathematics in China》2013,8(6):1265-1274
We discuss continuity of the Poisson transform on Herz spaces Bp as well as its action on weighted versions of these sets. We also consider Banach- valued versions of Herz spaces and study some of their properties. 相似文献
13.
Pair of weights u, v is characterized so that the Hardy-Steklov operator is compact between weighted Lebesgue spaces Lp(u) and Lq(v), where 1<p,q<∞, a,b are certain increasing functions and f?0. The compactness of the conjugate operator is also studied. 相似文献
14.
Stéphane Charpentier 《Complex Analysis and Operator Theory》2013,7(1):43-68
We give embedding theorems for weighted Bergman–Orlicz spaces on the ball and then apply our results to the study of the boundedness and the compactness of composition operators in this context. As one of the motivations of this work, we show that there exist some weighted Bergman–Orlicz spaces, different from H ∞, on which every composition operator is bounded. 相似文献
15.
Motivated by extremal problems of weighted Dirichlet or Neumann eigenvalues, we will establish two fundamental results on the dependence of weighted eigenvalues of the one-dimensional p-Laplacian on indefinite integrable weights. One is the continuous differentiability of eigenvalues in weights in the Lebesgue spaces L γ with the usual norms. Another is the continuity of eigenvalues in weights with respect to the weak topologies in L γ spaces. Here 1 ≤ γ ≤ ∞. In doing so, we will give a simpler explanation to the corresponding spectrum problems, with the help of several typical techniques in nonlinear analysis such as the Fréchet derivative and weak* convergence. 相似文献
16.
Elona Agora María J. Carro Javier Soria 《Journal of Fourier Analysis and Applications》2013,19(4):712-730
We characterize the weak-type boundedness of the Hilbert transform H on weighted Lorentz spaces $\varLambda^{p}_{u}(w)$ , with p>0, in terms of some geometric conditions on the weights u and w and the weak-type boundedness of the Hardy–Littlewood maximal operator on the same spaces. Our results recover simultaneously the theory of the boundedness of H on weighted Lebesgue spaces L p (u) and Muckenhoupt weights A p , and the theory on classical Lorentz spaces Λ p (w) and Ariño-Muckenhoupt weights B p . 相似文献
17.
Recently Choe et al. have introduced the notion of dual Berezin transforms and used it to obtain new characterizations of the Carleson measures for the weighted Bergman spaces over the unit ball in C n . Continuing our investigation on the Hardy spaces, we obtain new characterizations of the Carleson measures for the Hardy spaces by means of the dual Poisson–Szegö transforms introduced by Koosis. Compared with the results for the weighted Bergman spaces, our results for the Hardy spaces not only show an similarity, but also reveal a new characterization. 相似文献
18.
We obtain global heat kernel bounds for semigroups which need not be ultracontractive by transferring them to appropriately chosen weighted spaces where they become ultracontractive. Our construction depends upon two assumptions: the classical Sobolev imbedding and a “desingularizing” (L1,L1) bound on the weighted semigroup. 相似文献
19.
Chokri Abdelkefi 《Mediterranean Journal of Mathematics》2012,9(3):499-513
We introduce first weighted function spaces on ${\mathbb{R}^d}$ using the Dunkl convolution that we call Besov-Dunkl spaces. We provide characterizations of these spaces by decomposition of functions. Next we obtain in the real line and in radial case on ${\mathbb{R}^d}$ weighted L p -estimates of the Dunkl transform of a function in terms of an integral modulus of continuity which gives a quantitative form of the Riemann-Lebesgue lemma. Finally, we show in both cases that the Dunkl transform of a function is in L 1 when this function belongs to a suitable Besov-Dunkl space. 相似文献
20.
Pham The Lai 《Israel Journal of Mathematics》1974,17(4):364-379
We compute here the class of compacity of those operators onL 2 (Ω) the image of which belongs to some families of weighted Sobolev spaces. Such spaces are relevant for the study of some elliptic problems which degenerate at the boundary of Ω. 相似文献