Riesz Transform for the One-Dimensional -Generalized Fourier Transform

For the -generalized Fourier transform on the real line , the Riesz transform is defined. For this transform, -inequalities with power and piecewise power weights are proved for .

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Notes 2023-04, Vol.113 (3-4), p.356-367
1. Verfasser:	Ivanov, V. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Fourier transforms Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For the -generalized Fourier transform on the real line , the Riesz transform is defined. For this transform, -inequalities with power and piecewise power weights are proved for .
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S0001434623030057