Wavelet characterization of Sobolev spaces with variable exponent

• Autorzy: Izuki M.
• Języki publikacji: EN

Abstrakty

EN

Our aim is to get characterizations and unconditional bases of variable Sobolev spaces Lp (·),s(Rn) in terms of wavelets. As an application, we obtain the sampling theorem in Lp (·),s(Rn).

Słowa kluczowe

EN

Sobolev space with variable exponent; weighted Sobolev space; wavelet; unconditional basis; sampling theorem

PL

przestrzeń Soboleva; falki; twierdzenie o próbkowaniu

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2011
• Tom: Vol. 17, nr 1
• Strony: 37--49
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Izuki M.

• Department of Mathematics, Faculty of Science, Hokkaido University, Kita 10 Nishi 8, Kita-ku, Sapporo, Hokkaido 060-0810, Japan,

Bibliografia

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