Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces. (27th February 2014)

• Record Type: Journal Article
• Authors: Tan, Chaoqiang
• Other Names: Hudzik Henryk Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/987214
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce a class of singular integral operators including the classical Calderón-Zygmund singular integral operators and show that they are bounded on both the classical Hardy spaces and the product Hardy spaces.