학술논문
The maximal conjugate and Hilbert operators on real Hardy spaces.
Document Type
Article
Author
Source
Subject
*HARDY spaces
*FUNCTIONAL analysis
*COMPLEX variables
*HILBERT transform
*MATHEMATICAL functions
*MATHEMATICS
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Language
ISSN
0236-5294
Abstract
We prove that the maximal conjugate and Hilbert operators are not bounded from the real Hardy space H 1 to L 1, where the underlying spaces may be over T or R. We also draw corollaries for the corresponding spaces over T 2 and R 2. [ABSTRACT FROM AUTHOR]