Atomic decompositions for operators in reproducing kernel Hilbert spaces

2014/01/31 by Laura Gavruta, Gavruta, Laura
Mathematics · #30H20 #42C15 #47B32 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:30H20 #msc:42C15 #msc:47B32

paper · pdf · doi:10.48550/arxiv.1401.8150

13 pages

arxiv created 2014/01/31 · arxiv updated 2014/02/03

Abstract

In this paper, we give some results concerning atomic decompositions for operators on reproducing kernel Hilbert spaces, using frame theory techniques. We provide also generalizations for atomic decompositions of some theorems for reproducing kernel Hilbert spaces. In particular, we obtain atomic decomposition results for operators on Bergman spaces and Fock spaces in a simple manner.

Related

• Approximative K-Atomic Decompositions and frames in Banach Spaces
• Frames, their relatives and reproducing kernel Hilbert spaces
• Continuous generalized atomic subspaces for operators in Hilbert spaces
• Atomic subspaces for operators
• Atomic decomposition for Bergman spaces with exponential type weights