Wavelet transform for functions with values in UMD spaces

• Autorzy: Cornelia Kaiser , Lutz Weis
• Języki publikacji: EN

Abstrakty

EN

We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.

Kategorie tematyczne

• 42B15: Multipliers
• 42B35: Function spaces arising in harmonic analysis
• 42C40: Wavelets and other special systems
• 46B20: Geometry and structure of normed linear spaces
• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 186
• Numer: 2
• Strony: 101-126

Daty

wydano

2008

Twórcy

autor

Cornelia Kaiser

• Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

autor

Lutz Weis

• Institut für Analysis, Universität Karlsruhe, Englerstraße 2, 76128 Karlsruhe, Germany

Identyfikatory

DOI

10.4064/sm186-2-1