Besov continuity for pseudo-differential operators on compact homogeneous manifolds

TL;DR

This paper investigates the continuity properties of pseudo-differential operators within Besov spaces on compact homogeneous manifolds, utilizing global quantization based on the representation theory of these manifolds.

Contribution

It introduces a framework for analyzing Besov continuity of pseudo-differential operators on compact homogeneous manifolds using global quantization techniques.

Findings

Established Besov continuity results for pseudo-differential operators.

Applied representation theory for global quantization on manifolds.

Provided new tools for analysis on compact homogeneous spaces.

Abstract

In this paper we study the Besov continuity of pseudo-differential operators on compact homogeneous manifolds $M=G/K.$ We use the global quantization of these operators in terms of the representation theory of compact homogeneous manifolds.