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Modular Geometric Properties in Variable Exponent Spaces
Mathematics, 2022 Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is ...
Mohamed A. Khamsi +2 more
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Journal of Function Spaces, 2022 Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
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Open Mathematics, 2021 If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents
Mathematics, 2020 In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents. We investigate the invariance of these types of generalized almost-periodicity in Lebesgue spaces with variable exponents under the actions of convolution ...
Marko Kostić, Wei-Shih Du
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Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]
, 2009 In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo +2 more
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Universal Journal of Mathematics and Applications, 2019 For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue spaces and Sobolev spaces.
Lütfi Akın
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On maximal and potential operators with rough kernels in variable exponent spaces [PDF]
, 2016 In the framework of variable exponent Lebesgue and Morrey spaces we prove some boundedness results for operators with rough kernels, such as the maximal operator, fractional maximal operator, sharp maximal operators and fractional operators. The approach
Rafeiro, Humberto, Samko, Stefan
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
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Approximation theorems in weighted Lebesgue spaces with variable exponent
Filomat, 2021 In this work, approximation properties of de la Vall?e-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse and simultaneous theorems of approximation theory are proved and constructive characterizations of functions are ...
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Certain results for a class of nonlinear functional spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this article, we study properties of a class of functional spaces, so-called pn-spaces, which arise from investigation of nonlinear differential equations.
K. Soltanov, U. Sert
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