Herz‐Morrey‐Hardy Spaces with Variable Exponents and Their Applications [PDF]
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 The authors introduce Herz‐Morrey‐Hardy spaces with variable exponents and establish the characterization of these spaces in terms of atom. Applying the characterization, the authors obtain the boundedness of some singular integral operators on these spaces.
Jingshi Xu, Xiaodi Yang, Józef Banaś
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Boundedness of Hardy operators on grand variable weighted Herz spaces [PDF]
, 2023 In this paper, we will introduce the idea of grand variable weighted Herz spaces $ {{\dot{K} ^{\alpha(\cdot), \epsilon), \theta}_{ q(\cdot)}(\tau)}} $ in which $ \alpha $ is also a variable.
Babar Sultan +3 more
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A note on the boundedness of Hardy operators in grand Herz spaces with variable exponent [PDF]
, 2023 The fractional Hardy-type operators of variable order is shown to be bounded from the grand Herz spaces $ {\dot{K} ^{a(\cdot), u), \theta}_{ p(\cdot)}(\mathbb{R}^n)} $ with variable exponent into the weighted space $ {\dot{K} ^{a(\cdot), u), \theta}_ ...
Amjad Hussain +4 more
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Boundedness of some operators on grand Herz spaces with variable exponent [PDF]
, 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 ...
Ahmad Aloqaily +3 more
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Keterbatasan operator Mikhlin di ruang Grand Grand Morrey [PDF]
, 2022 Operator Mikhlin adalah salah satu operator pengali. Operator ini memetakan suatu fungsi ke hasil invers transformasi Fourier dari perkalian transformasi Fourier fungsi tersebut dikali dengan suatu fungsi lain yang telah ditentukan sebelumnya.
Maharani, Dian
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Grand lebesgue spaces with mixed local and global aggrandization and the maximal and singular operators [PDF]
, 2023 The approach to "locally" aggrandize Lebesgue spaces, previously suggested by the authors and based on the notion of "aggrandizer", is combined with the usual "global" aggrandization. We study properties of such spaces including embeddings, dependence of
Rafeiro, H. +2 more
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Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces [PDF]
, 2017 The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1
Karapetyants, Alexey, Samko, Stefan
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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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Maximal operator in variable Stummel spaces [PDF]
, 2022 We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel ...
Almeida, Alexandre, Rafeiro, Humberto
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Weighted Multilinear Hardy Operators on Herz Type Spaces
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey‐Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces.
Shuli Gong +4 more
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