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Mathematics
Nonseparable wavelets of Meyer type in besov and Lizorkin–Triebel spaces
S. A. Garkovskaya Voronezh State University, Chair of Functional Analysis and Operator Equations
Abstract:
It is proved that Fourier transforms of nonseparable wavelets of Meyer type can be used as decomposition of unity in definition of Besov and Lizorkin–Triebel spaces. The result is the first step in the proof of unconditional basisness of above mentioned wavelets in scales under consideration.
Key words:
wavelet, nonseparable wavelets, Besov spaces, Lizorkin–Triebel spaces, decomposition of unity.
Citation:
S. A. Garkovskaya, “Nonseparable wavelets of Meyer type in besov and Lizorkin–Triebel spaces”, Izv. Saratov Univ. Math. Mech. Inform., 9:2 (2009), 12–18
Linking options:
https://www.mathnet.ru/eng/isu39 https://www.mathnet.ru/eng/isu/v9/i2/p12
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Abstract page: | 246 | Full-text PDF : | 100 | References: | 49 | First page: | 1 |
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