Lp-inequalities and parseval-type relations for the index 2F1-transform
Filomat, Tome 37 (2023) no. 4, p. 1087
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In this paper we consider a systematic study of several new L p-boundedness properties for the index 2 F 1-transform over the spaces L γ,p R + , 1 ≤ p ∞, γ ∈ R, and L ∞ R +. We also obtain Parseval-type relations over these spaces.
Classification :
44A15, 33C05
Keywords: Index 2F1-transform, Gauss hypergeometric function, Lp-inequalities, Parseval-type relations, Hölder inequality
Keywords: Index 2F1-transform, Gauss hypergeometric function, Lp-inequalities, Parseval-type relations, Hölder inequality
B J González; E R Negrín. Lp-inequalities and parseval-type relations for the index 2F1-transform. Filomat, Tome 37 (2023) no. 4, p. 1087 . doi: 10.2298/FIL2304087G
@article{10_2298_FIL2304087G,
author = {B J Gonz\'alez and E R Negr{\'\i}n},
title = {Lp-inequalities and parseval-type relations for the index {2F1-transform}},
journal = {Filomat},
pages = {1087 },
year = {2023},
volume = {37},
number = {4},
doi = {10.2298/FIL2304087G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304087G/}
}
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