Integrability conditions for the Fourier transform
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Publication:1224757
DOI10.1016/0022-247X(76)90241-9zbMath0324.46031OpenAlexW2076914838MaRDI QIDQ1224757
Publication date: 1976
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(76)90241-9
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
Related Items (20)
Uniform convergence and integrability of Fourier integrals ⋮ Functions with general monotone Fourier coefficients ⋮ Hardy-type theorems on Fourier transforms revised ⋮ New estimates for the maximal functions and applications ⋮ Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients ⋮ General monotonicity and interpolation of operators ⋮ Weighted Fourier inequalities: Boas' conjecture in \({\mathbb{R}}^{n}\) ⋮ Fourier transforms of convolutions of functions in Lebesgue and Lorentz spaces ⋮ Net spaces and boundedness of integral operators ⋮ Unnamed Item ⋮ Weighted norm inequalities for integral transforms ⋮ Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations ⋮ A concept of general monotonicity and applications ⋮ Extended solution of Boas' conjecture on Fourier transforms ⋮ Pitt and Boas inequalities for Fourier and Hankel transforms ⋮ General monotone functions and their Fourier coefficients ⋮ Rearrangements of general monotone functions and of their Fourier transforms ⋮ Unnamed Item ⋮ The Boas problem on Hankel transforms ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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