On the range of the Fourier transform connected with Riemann-Liouville operator

DOI10.5802/ambp.272zbMath1179.42019OpenAlexW1981539603MaRDI QIDQ1034200

Ahlem Rouz, Lakhdar Tannech Rachdi

Publication date: 11 November 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10585

zbMATH Keywords

Fourier transformRiemann-Liouville operatorPaley-Wiener-Schwartz theorems

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Other transforms and operators of Fourier type (43A32) Fourier integral operators applied to PDEs (35S30)

Related Items (12)

An \(L^p\)-\(L^q\) version of Miyachi's theorem for the Riemann-Liouville operator ⋮ Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator ⋮ Duality of generalized Hardy and BMO spaces associated with singular partial differential operator ⋮ On generalized Hardy spaces associated with singular partial differential operators ⋮ Calderón's reproducing formulas and extremal functions for the Riemann-Liouville \(L^2\)-multiplier operators ⋮ Uncertainty principles and time frequency analysis related to the Riemann-Liouville operator ⋮ Calderon-reproducing formula for singular partial differential operators ⋮ The Hardy-Littlewood operator associated with the Riemann-Liouville transform ⋮ Uncertainty principle in terms of entropy for the Riemann-Liouville operator ⋮ Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator ⋮ New Paley-Wiener theorems ⋮ BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN–LIOUVILLE OPERATOR

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