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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 2, Pages 12–18
DOI: https://doi.org/10.18500/1816-9791-2009-9-2-12-18 (Mi isu39) 		 
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
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DOI: https://doi.org/10.18500/1816-9791-2009-9-2-12-18
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.
Document Type: Article
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Gar09}
\by S.~A.~Garkovskaya
\paper Nonseparable wavelets of Meyer type in besov and Lizorkin--Triebel spaces
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 2
\pages 12--18
\mathnet{http://mi.mathnet.ru/isu39}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-2-12-18}
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