Compactness of multilinear commutators generated by VMO functions and fractional integral operator on Morrey spaces

TL;DR

This paper investigates the compactness properties of multilinear commutators generated by VMO functions and fractional integral operators within Morrey spaces, enhancing understanding of their structure using subspace decomposition.

Contribution

It introduces a new approach using subspace decomposition to analyze the compactness of these commutators in Morrey spaces, advancing theoretical understanding.

Findings

Established improved compactness criteria for multilinear commutators

Provided new insights into the structure of Morrey spaces

Enhanced understanding of VMO function interactions with fractional integrals

Abstract

The aim of this paper is to improve the compactness of the multilinear commutators in Morrey spaces generated by VMO functions and fractional integral operators. In this paper, we will use the decomposition of the tilde closed subspaces of Morrey spaces. This gives us more understanding about commutators.