Fractional geometrical maximal functions on Morrey spaces with variable exponents
type: Item
instance of: scholarly article
title: Fractional geometrical maximal functions on Morrey spaces with variable exponents
zbMATH Open document ID: 1486.42031
author: Kwok-Pun Ho
published in: Results in Mathematics
publication date: 2022-01-31T00:00:00Z
review text: The author obtains the mapping properties of the fractional geometric maximal functions on Morrey spaces with variable exponents by the extrapolation theory. Different from the traditional method which requires the validity of the weighted norm inequalities for all weights belonging to \(A_1\), the author gives a refined version which just requires the validity of the weighted norm inequalities for a subset only.
reviewed by: Jingshi Xu
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7466707
zbMATH Keywords: fractional geometric maximal functions
zbMATH Keywords: Morrey spaces
zbMATH Keywords: variable exponent
zbMATH Keywords: extrapolation
MaRDI profile type: Publication
full work available at URL: s00025-021-01570-8
OpenAlex ID: W4200562001
Wikidata QID: Q114231963
cites work: Q3515821
cites work: Q4943985
cites work: Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
cites work: Weighted norm inequalities for the geometric maximal operator
cites work: The minimal operator and the geometric maximal operator in Rn
cites work: Weighted norm inequalities for geometric fractional maximal operators
cites work: Q5291662
cites work: Weights, extrapolation and the theory of Rubio de Francia.
cites work: Variable Lebesgue spaces. Foundations and harmonic analysis
cites work: Factorization Theory and A P Weights
cites work: Factorization and extrapolation of weights
cites work: Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Spherical Means and Weighted Inequalities
cites work: Modern Fourier Analysis
cites work: Extrapolation Results for Classes of Weights
cites work: Vector-valued singular integral operators on Morrey type spaces and variable Triebel-Lizorkin-Morrey spaces
cites work: Atomic decomposition of Hardy spaces and characterization of \(BMO\) via Banach function spaces
cites work: The fractional integral operators on Morrey spaces with variable exponent on unbounded domains
cites work: Atomic decomposition of Hardy-Morrey spaces with variable exponents
cites work: Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents
cites work: Fractional integral operators with homogeneous kernels on Morrey spaces with variable exponents
cites work: Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces
cites work: Weak type estimates of singular integral operators on Morrey-Banach spaces
cites work: Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents
cites work: Singular integral operators with rough kernels on Morrey type spaces
cites work: Definability of singular integral operators on Morrey-Banach spaces
cites work: Nonlinear commutators on Morrey-Banach spaces
cites work: Boundedness of operators and inequalities on Morrey-Banach spaces
cites work: Q5747457
cites work: Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure
cites work: Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
cites work: Orlicz–Morrey spaces and the Hardy–Littlewood maximal function
cites work: Embeddings for Morrey-Lorentz spaces
cites work: Weighted inequalities for the maximal geometric mean operator
DOI: 10.1007/S00025-021-01570-8
description: scientific article; zbMATH DE number 7466707