Off-diagonal and pointwise estimates for compact Calderon-Zygmund operators

TL;DR

This paper establishes off-diagonal and pointwise estimates for certain singular integral operators that are compact on L^p spaces, advancing understanding of their behavior.

Contribution

It introduces new off-diagonal and pointwise bounds for compact Calderon-Zygmund operators, extending existing theoretical frameworks.

Findings

Derived off-diagonal estimates for compact operators

Established pointwise bounds for singular integrals

Extended classical results to compact Calderon-Zygmund operators

Abstract

We prove several off-diagonal and pointwise estimates for singular integral operators that extend compactly on $L^{p}(\mathbb R^{n})$.