Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（11）
• 页码范围: 2199-2218
• 页数: 20页
• 语种: 英文
• DOI: 10.1007/s11425-017-9152-4

摘要

It is known that the space of homogeneous type introduced by Coifman and Weiss (1971) provides a very natural setting for establishing a theory of Hardy spaces.This paper concentrates on how the geometrical conditions of the space of homogeneous type play a crucial role in building a theory of Hardy spaces via the Littlewood-Paley functions.