Stability of integral operators on a space of homogeneous type

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A Class of compact operators on homogeneous spaces

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

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ژورنال

عنوان ژورنال: Mathematische Nachrichten

سال: 2016

ISSN: 0025-584X,1522-2616

DOI: 10.1002/mana.201500389