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

Abstract

We consider a family of Besov spaces of analytic type on the Shilov boundary $\mathcal{N}$ of a homogeneous Siegel domain $D$, 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 $\mathcal{N}$.

38 pages, no figures

References in corpus (1)

• Holomorphic Function Spaces on Homogeneous Siegel Domains

Cited by in corpus (3)

• Paley-Wiener-Schwartz Theorems on Quadratic CR Manifolds
• On the Theory of Bergman Spaces on Homogeneous Siegel Domains
• Invariant Spaces of Holomorphic Functions on the Siegel Upper Half-Space