English

Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions

Functional Analysis 2023-04-21 v2 Complex Variables

Abstract

We consider a family of Besov spaces of analytic type on the Shilov boundary N\mathcal{N} of a homogeneous Siegel domain DD, and study their properties in relation to convolution, Fourier multipliers, and complex interpolation. In addition, we study how these Besov spaces of analytic type can be compared with the `classical' Besov spaces N\mathcal{N}.

Keywords

Cite

@article{arxiv.2109.09402,
  title  = {Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions},
  author = {Mattia Calzi},
  journal= {arXiv preprint arXiv:2109.09402},
  year   = {2023}
}

Comments

38 pages, no figures