## Abstract and Applied Analysis

### Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

Chaoqiang Tan

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 987214, 7 pages.

Dates
First available in Project Euclid: 7 October 2014

https://projecteuclid.org/euclid.aaa/1412687020

Digital Object Identifier
doi:10.1155/2014/987214

Mathematical Reviews number (MathSciNet)
MR3176784

#### Citation

Tan, Chaoqiang. Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 987214, 7 pages. doi:10.1155/2014/987214. https://projecteuclid.org/euclid.aaa/1412687020

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