English

A note on composition operators on Hardy spaces of the polydisk

Complex Variables 2007-05-23 v2 Functional Analysis

Abstract

In this work, we prove that weak compactness of composition operator on H1(Un)H^{1}(U^{n}) coincides with its compactness. We also characterize bounded and compact composition operators on H1(Un).H^{1}(U^{n}).\

Keywords

Cite

@article{arxiv.math/0607307,
  title  = {A note on composition operators on Hardy spaces of the polydisk},
  author = {Turgay Bayraktar},
  journal= {arXiv preprint arXiv:math/0607307},
  year   = {2007}
}

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8 pages