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Physical Sciences and Engineering Mathematics Analysis

Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski-Fourier series

Article ID Journal Published Year Pages File Type
9500740 Journal of Approximation Theory 2005 26 Pages PDF
Abstract
Some classical results due to Marcinkiewicz, Littlewood and Paley are proved for the Ciesielski-Fourier series. The Marcinkiewicz multiplier theorem is obtained for Lp spaces and extended to Hardy spaces. The boundedness of the Sunouchi operator on Lp and Hardy spaces is also investigated.
Keywords
42B2542B3042A45primary 41A15Spline functionsHardy spaces
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski-Fourier series
Authors
Ferenc Weisz,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
42B25
42B30
42A45
primary 41A15
Spline functions
Hardy spaces
Algebra and Number Theory
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