Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent

• 作者: Afif Abdalmonem Omer Abdalrhman Shuangping Tao
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Calderón-Zygmund OPERATOR COMMUTATOR HERZ SPACES with Variable EXPONENT BMO SPACES
• 年，卷（期）: 2017,（4）
• 页码范围: 428-443
• 页数: 16页
• 分类号: O1

摘要

The aim of this paper is to study the boundedness of Calderón-Zygmund operator and their commutator on Herz Spaces with two variable exponents p(.),q(.). By applying the properties of the Lebesgue spaces with variable exponent, the boundedness of the Calderón-Zygmund operator and the commutator generated by BMO function and Calderón-Zygmund operator is obtained on Herz space.