On a family of strong fractional maximal operators

TL;DR

This paper investigates a family of strong fractional maximal operators, establishing their boundedness from L^p to L^q spaces for specific parameter ranges.

Contribution

It introduces and analyzes a parametrized family of strong fractional maximal operators, proving their boundedness properties in L^p and L^q spaces.

Findings

Proved L^p to L^q boundedness for the operators.

Established boundedness for 1<p≤q<∞.

Contributed to the theory of fractional maximal operators.

Abstract

We study a parametrized family of strong maximal fractional operators. We prove their $L^p$ to $L^q$ boundedness for $1<p\le q<\infty$.