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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 22
  3. Journal of Fourier Analysis and Applications : Volume 22, Issue 5, October 2016
  4. Fourier Series in Weighted Lorentz Spaces
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 22, Issue 6, December 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 5, October 2016
Resolution of the Wavefront Set Using General Continuous Wavelet Transforms
$$L^{p}(\mu ) \rightarrow L^{q}(\nu )$$ Characterization for Well Localized Operators
Invertibility in the Flag Kernels Algebra on the Heisenberg Group
The Construction of G-Invariant Finite Tight Frames
On Partition of Unities Generated by Entire Functions and Gabor Frames in $$ L^2({\mathbb R}^d) $$ and $$\ell ^2({\mathbb Z}^d)$$
Characterization of the SG-Wave Front Set in Terms of the FBI-Transform
Half Sampling on Bipartite Graphs
On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation
Fourier Series in Weighted Lorentz Spaces
Journal of Fourier Analysis and Applications : Volume 22, Issue 4, August 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 3, June 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 2, April 2016
Journal of Fourier Analysis and Applications : Volume 22, Issue 1, February 2016
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Fourier Series in Weighted Lorentz Spaces

Content Provider SpringerLink
Author Rastegari, Javad Sinnamon, Gord
Copyright Year 2015
Abstract The Fourier coefficient map is considered as an operator from a weighted Lorentz space on the circle to a weighted Lorentz sequence space. For a large range of Lorentz indices, necessary and sufficient conditions on the weights are given for the map to be bounded. In addition, new direct analogues are given for known weighted Lorentz space inequalities for the Fourier transform. Applications are given that involve Fourier coefficients of functions in LogL and more general Lorentz–Zygmund spaces.
Ending Page 1223
Page Count 32
Starting Page 1192
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 5
Volume Number 22
Language English
Publisher Springer US
Publisher Date 2015-12-23
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Signal, Image and Speech Processing Fourier series Fourier coefficients Fourier series and coefficients Lorentz space Abstract Harmonic Analysis Mathematical Methods in Physics Fourier Analysis Weights Spaces of measurable functions ( $L^p$ -spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Function spaces arising in harmonic analysis Approximations and Expansions Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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