Results 1 to 10 of about 4,824,817 (357)
Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems [PDF]
arXiv, 2021 We investigate the variable-exponent Abel integral equations and corresponding fractional Cauchy problems. The main contributions of the work are enumerated as follows: (i) We develop an approximate inversion technique for variable-exponent Abel integral operators, based on which we analyze the corresponding integral and differential equations; (ii) We
Xiangcheng Zheng
arxiv +2 more sources
Boundedness of some operators on grand Herz spaces with variable exponent
AIMS Mathematics, 2023 Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying ...
Mehvish Sultan +3 more
doaj +2 more sources
Function Spaces with a Random Variable Exponent [PDF]
Abstract and Applied Analysis, 2011 The spaces with a random variable exponent 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω) are introduced. After discussing the properties of the spaces 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with
Boping Tian, Yongqiang Fu, Bochi Xu
doaj +3 more sources
Lorentz spaces with variable exponents [PDF]
Mathematische Nachrichten, 2013 We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Henning Kempka, Jan Vybíral
openalex +5 more sources
On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj +3 more sources
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces [PDF]
Journal of Inequalities and Applications, 2007 We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Katja Tuhkanen +2 more
doaj +2 more sources
Stability of eigenvalues for variable exponent problems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2015 In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.
Francesca Colasuonno, Marco Squassina
openalex +7 more sources
Nonlocal eigenvalue problems with variable exponent [PDF]
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj +3 more sources
Littlewood-Paley Operators on Morrey Spaces with Variable Exponent [PDF]
The Scientific World Journal, 2014 By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g ...
Shuangping Tao, Lijuan Wang
doaj +2 more sources
Variable Exponent Besov–Morrey Spaces [PDF]
Journal of Fourier Analysis and Applications, 2018 In this paper we introduce Besov–Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions.
Alexandre Almeida, A. Caetano
semanticscholar +5 more sources