Adams-Spanne type estimates for parabolic sublinear operators and their commutators by with rough kernels on parabolic generalized Morrey spaces

TL;DR

This paper establishes Adams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spaces, including endpoint cases, advancing harmonic analysis techniques.

Contribution

It provides new Adams-Spanne type estimates for a broad class of parabolic operators with rough kernels, extending existing harmonic analysis results.

Findings

Derived Adams-Spanne estimates for parabolic operators

Established endpoint estimates for these operators

Applicable to most harmonic analysis operators with rough kernels

Abstract

The aim of this paper is to give Adams-Spanne type estimates for parabolic sublinear operators and their commutators by with rough kernels generated by parabolic fractional integral operators under generic size conditions which are satisfied by most of the operators in harmonic analysis. Their endpoint estimates are also disposed.