New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents

DOI10.1007/s13540-022-00121-4zbMath1509.60100OpenAlexW4313256450MaRDI QIDQ6043031

Ferenc Weisz

Publication date: 4 May 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00121-4

zbMATH Keywords

atomic decompositionvariable exponentsfractional maximal operatorsvariable Hardy spaces

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) (H^p)-spaces (42B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
• Variable weak Hardy spaces and their applications
• Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators
• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• On the pointwise convergence of Cesàro means of two-variable functions with respect to unbounded Vilenkin systems
• Lebesgue and Sobolev spaces with variable exponents
• Weighted Sobolev inequality in Musielak-Orlicz space
• Martingale Hardy spaces with variable exponents
• Fractional integral on martingale Hardy spaces with variable exponents
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Martingale Hardy spaces and their applications in Fourier analysis
• Two-parameter Vilenkin multipliers and a square function
• Atomic decompositions of weighted Hardy spaces with variable exponents
• On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
• Norm convergence of logarithmic means on unbounded Vilenkin groups
• Variable anisotropic Hardy spaces and their applications
• Characterizations of variable martingale Hardy spaces via maximal functions
• Boundedness of dyadic maximal operators on variable Lebesgue spaces
• Maximal operators of Vilenkin-Nörlund means
• Martingale Musielak-Orlicz Hardy spaces
• Fractional integrals and their commutators on martingale Orlicz spaces
• Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces
• Atomic characterizations of weak martingale Musielak-Orlicz Hardy spaces and their applications
• Corrigendum: ``Fractional integral on martingale Hardy spaces with variable exponents
• New martingale inequalities and applications to Fourier analysis
• Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications
• Fractional integrals and derivatives: mapping properties
• On (C,1) summability for Vilenkin-like systems
• The predual and John-Nirenberg inequalities on generalized BMO martingale spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Fractional, Maximal and Singular Operators in Variable Exponent Lorentz Spaces
• Variable Hardy–Lorentz spaces
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• New variable martingale Hardy spaces
• Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
• Doob’s and Burkholder-Davis-Gundy inequalities with variable exponent
• Variable Hardy Spaces
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent
• Variable martingale Hardy spaces and their applications in Fourier analysis
• Cesàro summability with respect to two-parameter Walsh systems
• Convergence of Vilenkin–Fourier series in variable Hardy spaces

This page was built for publication: New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents