Notes on the Herz-type Hardy spaces of variable smoothness and integrability

DOI10.7153/mia-19-11zbMath1334.42047OpenAlexW2514301625MaRDI QIDQ2794810

Fakhreddine Seghiri, Douadi Drihem

Publication date: 11 March 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-19-11

zbMATH Keywords

maximal operatorsCalderón-Zygmund operatorssublinear operatorsatomsHerz-type Hardy spacespotential operatorsvariable exponents

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (23)

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents ⋮ Unnamed Item ⋮ Boundedness for variable fractional integral operators and their commutators on Herz-Hardy spaces with variable exponent ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Strongly singular Calderón-Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces ⋮ Rough fractional Hausdorff operators on Morrey-Herz spaces with variable exponents ⋮ Variable Herz estimates for fractional integral operators ⋮ Extrapolation to Herz spaces with variable exponents and applications ⋮ On \(n\)-dimensional fractional Hardy operators and commutators in variable Herz-type spaces ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Hardy spaces associated to critical Herz spaces with variable exponent ⋮ Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability ⋮ Unnamed Item ⋮ Two weighted Herz spaces with variable exponents ⋮ On multilinear commutators of Marcinkiewicz integrals in variable exponent Lebesgue and Herz type spaces ⋮ Multilinear commutators of singular integral operators in variable exponent Herz-type spaces ⋮ Commutators of the bilinear Hardy operator on Herz type spaces with variable exponents ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents ⋮ Boundedness of some bilinear operators on variable Herz-type Hardy spaces ⋮ Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents

This page was built for publication: Notes on the Herz-type Hardy spaces of variable smoothness and integrability