Results 1 to 10 of about 3,261,817 (215)

On Some Properties of Integral-Type Operator in Weighted Herz Spaces with Variable Exponent Lebesgue Spaces [PDF]

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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Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

Journal of Function Spaces, 2021
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés, Humberto Rafeiro   +1 more
doaj   +2 more sources

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, Osvaldo D. Méndez, Simeon Reich   +2 more
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Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels [PDF]

Journal of Inequalities and Applications, 2017
In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by B M O $BMO$ functions and multilinear singular integral operators with generalized kernels.
Yan Lin, Nan Zhang
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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
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A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Open Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

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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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

Journal of Function Spaces, 2022
In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis, Humberto Rafeiro, Muhammad Asad Zaighum   +2 more
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Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

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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On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

Journal of Inequalities and Applications, 2023
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
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