Year: 2011
Author: Vanda Fülöp, Ferenc Mόricz
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 351–364
Abstract
We consider complex-valued functions f∈L1(R2+), where R+:=[0,∞), and prove sufficient conditions under which the double sine Fourier transform ˆfss and the double cosine Fourier transform ˆfcc belong to one of the two-dimensional Lipschitz classes Lip(α,β) for some 0<α,β≤1; or to one of the Zygmund classes Zyg(α,β) for some 0<α,β≤2. These sufficient conditions are best possible in the sense that they are also necessary for nonnegative-valued functions f∈L1(R2+).
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0351-9
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 351–364
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: double sine and cosine Fourier transform Lipschitz class Lip$(\alpha \beta)$ $0< \alpha \beta \leq 1$ Zygmund class Zyg$(\alpha $0 < \alpha \beta \leq 2$.
Author Details
-
Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces
Volosivets, Sergey
Complex Analysis and Operator Theory, Vol. 18 (2024), Iss. 3
https://doi.org/10.1007/s11785-024-01491-8 [Citations: 0] -
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces
Volosivets, Sergey
Advances in Applied Clifford Algebras, Vol. 33 (2023), Iss. 5
https://doi.org/10.1007/s00006-023-01301-y [Citations: 0]