Results 1 to 10 of about 141 (69)

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

open access: yesOpen 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
doaj   +1 more source

Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

open access: yesJournal 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
doaj   +1 more source

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

open access: yesJournal 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   +1 more
doaj   +1 more source

Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents

open access: yesMathematics, 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.
Marko Kostić, Wei-Shih Du
doaj   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

open access: yesOpen 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
doaj   +1 more source

Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces

open access: yesJournal of Function Spaces, 2016
The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
doaj   +1 more source

On Variable Exponent Amalgam Spaces

open access: yesAnalele 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   +1 more source

Pointwise Multipliers on Weak Morrey Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
doaj   +1 more source

Modular Geometric Properties in Variable Exponent Spaces

open access: yesMathematics, 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
doaj   +1 more source

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