Fractional operators with homogeneous kernels in weighted Herz spaces with variable exponent

DOI10.1080/00036811.2020.1789602zbMath1487.42026OpenAlexW3042787352MaRDI QIDQ5072927

Afif Abdalmonem, Andrea Scapellato

Publication date: 5 May 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1789602

zbMATH Keywords

weighted Herz spacefractional integralvariable exponenthomogeneous kernelMuckenhoupt

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (6)

\(p\)-adic Riesz potential and its commutators on Morrey-Herz spaces ⋮ Grand Herz-Morrey spaces with variable exponent ⋮ Global existence and optimal estimation of the Cauchy problem to the 3D fluid equations ⋮ Unnamed Item ⋮ Some new Ostrowski-type inequalities involving \(\sigma\)-fractional integrals ⋮ Parametric Marcinkiewicz integral and its higher-order commutators on variable exponents Morrey-Herz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Boundedness of fractional integrals on weighted Herz spaces with variable exponent
• Homogeneous Herz spaces and regularity results
• Parabolic Herz spaces and their applications
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Fractional integrals on Herz-Morrey spaces with variable exponent
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Regularity of solutions to elliptic equations on Herz spaces with variable exponents
• Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Some integral and maximal operators related to starlike sets
• Homogeneous Herz spaces with variable exponents and regularity results
• A unique weak solution for a kind of coupled system of fractional Schrödinger equations
• On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations
• Weighted Norm Inequalities for Singular and Fractional Integrals
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Fractional operators with homogeneous kernels in weighted Herz spaces with variable exponent