共查询到20条相似文献,搜索用时 31 毫秒
1.
S. M. Umarkhadzhiev 《Russian Mathematics (Iz VUZ)》2014,58(4):35-43
We introduce families of weighted grand Lebesgue spaces which generalize weighted grand Lebesgue spaces (known also as Iwaniec-Sbordone spaces). The generalization admits a possibility of expanding usual (weighted) Lebesgue spaces to grand spaces by various ways by means of additional functional parameter. For such generalized grand spaces we prove a theorem on the boundedness of linear operators under the information of their boundedness in ordinary weighted Lebesgue spaces. By means of this theorem we prove boundedness of the Hardy-Littlewood maximal operator and the Calderon-Zygmund singular operators in the weighted grand spaces. 相似文献
2.
Olivia Constantin 《Integral Equations and Operator Theory》2007,59(4):523-554
We prove a general atomic decomposition theorem for weighted vector-valued Bergman spaces, which applies to duality problems
and to the study of compact Toeplitz type operators.
相似文献
3.
本文在非齐型空间上证明具有Dini核条件的T1定理,获得了加权Fefferman- Stein向量值极大不等式.进一步地,在非齐型空间上得到了加权Tiebel-Lizorkin空间的T1定理. 相似文献
4.
We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted modulation spaces. 相似文献
5.
V.M. Kokilashvili 《Journal of Mathematical Analysis and Applications》2009,352(1):15-34
Last years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. 相似文献
6.
We prove a general embedding theorem for Sobolev spaces on open manifolds of bounded geometry and infer from this the module structure theorem. Thereafter we apply this to weighted Sobolev spaces. 相似文献
7.
In this paper we show that for sufficiently dense grids Poisson wavelets on the sphere constitute a weighted frame. In the proof we will only use the localization properties of the reproducing kernel and its gradient. This indicates how this kind of theorem can be generalized to more general reproducing kernel Hilbert spaces. With the developed technique we prove a sampling theorem for weighted Bergman spaces. 相似文献
8.
Shinya Moritoh Miyuki Niwa Takuya Sobukawa 《Proceedings of the American Mathematical Society》2006,134(8):2329-2334
In 1997 Ferreyra proved that it is impossible to extend the Stein-Weiss theorem in the context of Lorentz spaces. In this paper we obtain an interpolation theorem on Lorentz spaces over weighted measure spaces.
9.
Mathematical Notes - An embedding theorem of weighted spaces of functions of positive smoothness defined on irregular domains of n-dimensional Euclidean space in weighted Lebesgue spaces is... 相似文献
10.
In this paper, we study the resonance problem of a class of singular quasilinear elliptic equations with respect to its higher near-eigenvalues. Under a generalized Landesman–Lazer condition, it is proved that the resonance problem admits at least one nontrivial solution in weighted Sobolev spaces. The proof is based upon applying the Galerkin-type technique, the Brouwer’s fixed-point theorem and a compact embedding theorem of weighted Sobolev spaces by Shapiro. 相似文献
11.
Applying the decomposition theorems in [1] and [2], we obtain the boundedness theorem of Calderón-Zygmund operator of type
δ on the Hardy spaces of weighted Herz type and establish interpolation theorem of linear operators on the weighted Herz spaces.
Supported by NSF of China and the Fund of Doctoral Program of N.E.C. 相似文献
12.
Akihiko Miyachi 《Mathematische Annalen》2006,336(1):111-153
Muckenhoupt's transplantation theorem for Jacobi series in weighted L
p
spaces is extended to weighted Hardy spaces. 相似文献
13.
In this paper, we reveal several basic properties about nonlinear vector-valued weighted pseudo almost automorphic functions, including equivalence, completeness, translation invariance, composition theorem, and convolution theorem of these functions. We also give some concrete examples to illustrate our results. Finally, we obtain a new existence theorem of nonlinear weighted pseudo almost automorphic solutions for semilinear evolution equations in Banach spaces. 相似文献
14.
The relationship of Besov spaces and Herz spaces on local fields is given. As an application, one multiplier theorem is obtained.
And the decompositional characterization of the weighted Besov spaces is established. 相似文献
15.
Lei DENG Ming Ge YANG 《数学学报(英文版)》2006,22(6):1809-1818
Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approximation theorem, existence theorems of weighted Nash equilibria and Pareto equilibria for multiobjective games are given in general topological spaces. 相似文献
16.
17.
Akihiko Miyachi 《Advances in Mathematics》2004,184(1):177-206
A transplantation theorem for Jacobi series in weighted Hardy spaces is proved. 相似文献
18.
Mieczys?aw Masty?o 《Journal of Functional Analysis》2004,214(2):260-283
In this paper we study interpolation of bilinear operators between products of Banach spaces generated by abstract methods of interpolation in the sense of Aronszajn and Gagliardo. A variant of bilinear interpolation theorem is proved for bilinear operators from corresponding weighted c0 spaces into Banach spaces of non-trivial the periodic Fourier cotype. This result is then extended to the spaces generated by the well-known minimal and maximal methods of interpolation determined by quasi-concave functions. In the case when a maximal construction is generated by Hilbert spaces, we obtain a general variant of bilinear interpolation theorem. Combining this result with the abstract Grothendieck theorem of Pisier yields further results. The results are applied in deriving a bilinear interpolation theorem for Calderón-Lozanovsky, for Orlicz spaces and an embedding interpolation formula for (E,p)-summing operators. 相似文献
19.
G. Mastroianni M. G. Russo W. Themistoclakis 《Integral Equations and Operator Theory》2002,42(1):57-89
The mapping properties of the Cauchy singular integral operator with constant coefficients are studied in couples of spaces equipped with weighted uniform norms. Recently weighted Besov type spaces got more and more interest in approximation theory and, in particular, in the numerical analysis of polynomial approximation methods for Cauchy singular integral equations on an interval. In a scale of pairs of weighted Besov spaces the authors state the boundedness and the invertibility of the Cauchy singular integral operator. Such result was not expected for a long time and it will affect further investigations essentially. The technique of the paper is based on properties of the de la Vallée Poussin operator constructed with respect to some Jacobi polynomials. 相似文献
20.
Existence Results in Weighted Sobolev Spaces for Some Singular Quasilinear Elliptic Equations 总被引:1,自引:0,他引:1
In this paper, we obtain the existence of a nontrivial solution for a class of singular quasilinear elliptic equations in
weighted Sobolev spaces. The proofs rely on Galerkin-type techniques, Brouwer fixed point theorem, and a new weighted compact
Sobolev-type embedding theorem established by Shapiro. The equation is one of the most useful sets of Navier-Stokes equations,
which describe the motion of viscous fluid substances such as liquids, gases and so on. 相似文献