English

Atomic decompositions for operators in reproducing kernel Hilbert spaces

Functional Analysis 2014-02-03 v1

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.

Keywords

Cite

@article{arxiv.1401.8150,
  title  = {Atomic decompositions for operators in reproducing kernel Hilbert spaces},
  author = {Laura Gavruta},
  journal= {arXiv preprint arXiv:1401.8150},
  year   = {2014}
}

Comments

13 pages

R2 v1 2026-06-22T02:58:32.767Z