Decay of Fourier Transforms and Generalized Besov Spaces

Thaís JORDÃO

doi:https://doi.org/10.33205/cma.646557

Article Details

Decay of Fourier Transforms and Generalized Besov Spaces

Authors:

Thaís JORDÃO

Publisher:

Tuncer ACAR

Main Topics:

Mathematics

Journal:

Constructive Mathematical Analysis 2020 Vol.3 Issue 1, pp.20-35

Document Type:

Article

Publication Date:

2/2020

Document Language:

English

Document ID (Org No.):

2000914195

Frequency:

Quarterly

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.646557

Abstract:

 


A characterization of the generalized Lipschitz and Besov spaces in terms of decay of Fourier transforms is given.\ In particular, necessary and sufficient conditions of Titchmarsh type are obtained.\ The method is based on two-sided estimate for the rate of approximation of a ββ\beta-admissible family of multipliers operators in terms of decay properties of Fourier transforms.

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Article Details

Decay of Fourier Transforms and Generalized Besov Spaces

Authors: Thaís JORDÃO

Publisher: Tuncer ACAR

Main Topics: Mathematics

Journal: Constructive Mathematical Analysis 2020 Vol.3 Issue 1, pp.20-35

Document Type: Article

Publication Date: 2/2020

Document Language: English

Document ID (Org No.): 2000914195

Frequency: Quarterly

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.646557

Issues

Authors:

Thaís JORDÃO

Publisher:

Tuncer ACAR

Main Topics:

Mathematics

Journal:

Constructive Mathematical Analysis 2020 Vol.3 Issue 1, pp.20-35

Document Type:

Article

Publication Date:

2/2020

Document Language:

English

Document ID (Org No.):

2000914195

Frequency:

Quarterly

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.646557