Lp-inequalities and Parseval-type relations for the index 2F1-transform

In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.

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Veröffentlicht in:Filomat 2023, Vol.37 (4), p.1087-1095
Hauptverfasser: González, B.J., Negrín, E.R.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over the spaces L?,p (R+), 1 ? p < ?, ? ? R, and L? (R+). We also obtain Parseval-type relations over these spaces.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2304087G