A boundedness result for Marcinkiewicz integral operator

We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains -bounded when its kernel satisfies only the sole integrability condition.

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Veröffentlicht in:	Open mathematics (Warsaw, Poland) Poland), 2020-07, Vol.18 (1), p.829-836
Hauptverfasser:	Hawawsheh, Laith, Abudayah, Mohammad
Format:	Artikel
Sprache:	eng
Schlagworte:	42B15 42B20 42B25 bounded integral operator Integrals lp-bounded integral operator Marcinkiewicz integral operator maximal integral operator Operators (mathematics)
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Beschreibung
Zusammenfassung:	We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains -bounded when its kernel satisfies only the sole integrability condition.
ISSN:	2391-5455 2391-5455
DOI:	10.1515/math-2020-0046