NSTL国家科技图书文献中心

1. Compactness in Banach function spaces: Poincaré and Friedrichs inequalities NSTL国家科技图书文献中心

Bilalov, Bilal | Mamedov, Eminaga ... - 《Rendiconti del Circolo Matematico di Palermo》 - 2025,74(1) - 共23页

摘要：In this work, we study the relative compactness of subsets of separable subspaces Xs Omegadocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} ...

关键词： Additive-invariant | Rearrangement-invariant | Banach-Sobolev spaces | Compactness | Poincar & eacute; inequality | Friedrichs inequality

2. On solvability of polyharmonic Dirichlet problem in symmetric Sobolev spaces NSTL国家科技图书文献中心

Bilalov, Bilal T. | Sadigova, Sabina R.... - 《Mathematical Methods in the Applied Sciences》 - 2024,47(18) - 14386～14401 - 共16页

摘要：Let Omega subset of R-n be a bounded domain with sufficiently smooth boundary partial derivative Omega and X (Omega) be a symmetric space defined on the measure space (Omega; dx). We consider a Dirich...

关键词： Dirichlet problem | polyharmonic equation | solvability | symmetric Sobolev spaces

3. Some Remarks on Solvability of Dirichlet Problem for Laplace Equation in Non-standard Function Spaces SCIE Web of Science核心 NSTL国家科技图书文献中心

Bilalov, Bilal T. | Ahmedzadeh, Nigar R.... - 《Mediterranean journal of mathematics》 - 2022,19(3) - ARTN 133～ - 共25页 - 被引量：2

摘要：Non-standard grand-Lebesgue and Morrey spaces are considered in this work, together with grand-Sobolev and Morrey-Sobolev spaces generated by them. Dirichlet problems for Laplace equation in different...

关键词： Non-standard Lebesgue spaces | Morrey spaces | grand-Sobolev spaces | Morrey-Sobolev spaces | Dirichlet problem | Laplace operator | Hardy space | solvability | PIECEWISE-LINEAR PHASE | MORREY SPACES...

4. On basicity of perturbed exponential system with piecewise linear phase in Morrey-type spaces SCOPUS Scopus数据库 ESCI 新兴来源引文索引 NSTL国家科技图书文献中心

Bilalov, Bilal | Muradov, Togrul ... - 《Afrika matematika》 - 2021,32(1/2) - 151～166 - 共16页

摘要：An exponential system with piecewise linear phase depending on some parameters is considered in this work. Basis properties of this system (such as completeness, minimality and basicity) are studied i...

关键词： Exponential system | Basicity | Morrey space

5. t-Frames and their Noetherian Perturbation SCIE Web of Science核心 SCOPUS Scopus数据库 NSTL国家科技图书文献中心

Bilalov, Bilal | Guliyeva, Fatima - 《Complex analysis and operator theory》 - 2015,9(7) - 1609～1631 - 共23页 - 被引量：1

摘要：The concept of -frame associated with the tensor product of Hilbert spaces is introduced. All the properties of ordinary frames are extended to this case. Noetherian perturbation of -frames is conside...

关键词： t-Frames | Tensor product | Noetherian mapping

6. The concept of t-basis and vector-valued Hardy classes

Bilalov, Bilal T. | Sadigova, Sabina R. - 《turkish journal of mathematics》 - 2025,49(3) - 共27页

摘要：This paper introduces the concept of a t-basis generated by some bilinear mapping t (; ). It is considered the vector-valued class L-p (X) =: L-p (J; X), 1 <= p < +infinity, wh...

关键词： t -basis | UMD space | vector Hardy classes | Plemelj-Sokhotski formulas | BOUNDARY PROPERTIES | HARMONIC-FUNCTIONS | BASIS PROPERTY | SPACES | SYSTEMS | EXPONENTS...

7. On the fredholmness of the Dirichlet problem for a second-order elliptic equation in grand-Sobolev spaces

Bilalov, Bilal | Sadigova, Sabina - 《ricerche di matematica》 - 2024,73(1) - 283～322 - 共40页 - 被引量：4

摘要：In this paper a second order elliptic equation with nonsmooth coefficients is considered in grand-Sobolev classes W-q)(2) (Omega) on a bounded n-dimensional domain Omega subset of R-n with a sufficien...

关键词： Grand-Sobolev space | Dirichlet problem | Elliptic equation | Schauder-type estimates | Fredholmness | PIECEWISE-LINEAR PHASE | MORREY SPACES | REGULARITY | EXPONENTS | THEOREMS...

8. Solvability in the small of m-th order elliptic equations in weighted grand Sobolev spaces

Bilalov, Bilal | Zeren, Yusuf ... - 《turkish journal of mathematics》 - 2022,46(6) - 2078～2095 - 共19页 - 被引量：1

摘要：In this work we consider the Sobolev spaces generated by the norm of the power weighted grand Lebesgue spaces. It is considered m-th order elliptic equation with nonsmooth coefficients on bounded doma...

关键词： Elliptic equation | solvability in small | weighted grand Lebesgue and Sobolev spaces | PIECEWISE-LINEAR PHASE | MORREY SPACES | LEBESGUE | SYSTEM | THEOREMS | BASICITY | CONVOLUTION...

9. On Riemann problem in weighted Smirnov classes with general weight

Bilalov, Bilal | Guliyeva, Aysel ... - 《Acta et Commentationes Universitatis Tartuensis de Mathematica》 - 2021,25(1) - 33～56 - 共24页

摘要：Weighted Smirnov classes in bounded and unbounded domains are defined in this work. Nonhomogeneous Riemann problems with a measurable coefficient whose argument is a piecewise continuous function are ...

关键词： Weighted Smirnov classes | Riemann problem | Muckenhoupt condition | BOUNDARY | SOLVABILITY | SYSTEM

10. Interior Schauder-Type Estimates for Higher-Order Elliptic Operators in Grand-Sobolev Spaces

Bilalov, Bilal T. | Sadigova, Sabina R. - 《Sahand Communications in Mathematical Analysis》 - 2021,18(2) - 129～148 - 共20页

摘要：In this paper an elliptic operator of the m-th order L with continuous coefficients in the n-dimensional domain Q subset of R-n in the non-standard Grand-Sobolev space W-q)(m)(Omega) generated by the ...