Wavelet characterization of Sobolev spaces with variable exponent

Mitsuo Izuki

doi:10.1515/JAA.2011.002

Wavelet characterization of Sobolev spaces with variable exponent

Mitsuo Izuki

Graduate School of Education

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L ^p(·); ^s(ℝ ⁿ) in terms of wavelets. As an application, we obtain the sampling theorem in L ^p(·); ^s(ℝ ⁿ).

Original language	English
Pages (from-to)	37-49
Number of pages	13
Journal	Journal of Applied Analysis
Volume	17
Issue number	1
DOIs	https://doi.org/10.1515/JAA.2011.002
Publication status	Published - Jun 1 2011

Keywords

Sampling theorem
Sobolev space with variable exponent
Unconditional basis
Wavelet
Weighted sobolev space

ASJC Scopus subject areas

Mathematical Physics
Statistics, Probability and Uncertainty
Computational Theory and Mathematics
Applied Mathematics

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title = "Wavelet characterization of Sobolev spaces with variable exponent",

abstract = "Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L p(·); s(ℝ n) in terms of wavelets. As an application, we obtain the sampling theorem in L p(·); s(ℝ n).",

keywords = "Sampling theorem, Sobolev space with variable exponent, Unconditional basis, Wavelet, Weighted sobolev space",

author = "Mitsuo Izuki",

year = "2011",

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doi = "10.1515/JAA.2011.002",

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AB - Our aim is to get characterizations and unconditional bases of variable Sobolev spaces L p(·); s(ℝ n) in terms of wavelets. As an application, we obtain the sampling theorem in L p(·); s(ℝ n).

KW - Sampling theorem

KW - Sobolev space with variable exponent

KW - Unconditional basis

KW - Wavelet

KW - Weighted sobolev space

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JF - Journal of Applied Analysis

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Wavelet characterization of Sobolev spaces with variable exponent

Abstract

Keywords

ASJC Scopus subject areas

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