Results 1 to 10 of about 1,593,722 (169)
Multipliers in weighted Sobolev spaces on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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Weighted Sobolev spaces: Markov-type inequalities and duality [PDF]
Bulletin of Mathematical Sciences, 2017 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
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Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
Bulletin of Mathematical Sciences, 2021 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On
Francisco Marcellán +1 more
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Weighted critical exponents of Sobolev-type embeddings for radial functions
Advanced Nonlinear Studies, 2022 In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
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Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces [PDF]
ITM Web of Conferences, 2022 This paper studies the Fredholm properties for a class of regular hypoelliptic operators. We establish necessary and sufficient conditions for a priori estimates for differential operators acting in multianisotropic Sobolev spaces in Rn.
Tumanyan Ani
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Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions
Journal of Mathematics, 2021 It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
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Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces [PDF]
Mathematica Bohemica, 2022 In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the ...
Abdelali Sabri +2 more
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Convolution Algebraic Structures Defined by Hardy-Type Operators
Journal of Function Spaces and Applications, 2013 The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
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