Hilbert transform on $W_{\sigma}^1$

Author
V. Dilnyi1, Kh. Voitovych2
1) University of Agriculture in Krakow, Cracow, Poland; Drohobych Ivan Franko State Pedagogical University Drohobych, Ukraine; 2) Drohobych Ivan Franko State Pedagogical University Drohobych, Ukraine
Abstract
We obtain a boundedness criterion for the Hilbert transform on the Paley-Wiener space in the terms of decomposition. Since we have a simple method of evaluation of the Hilbert transform.
Keywords
Hilbert transform; PaleyWiener space; weighted Hardy space
DOI
doi:10.30970/ms.52.1.32-37
Reference
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Pages
32-37
Volume
52
Issue
1
Year
2019
Journal
Matematychni Studii
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