We consider a family of Besov spaces of analytic type on the Šilov boundary N of a homogeneous Siegel domain D, and study their properties concerning 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 on N
Besov spaces of analytic type: Interpolation, convolution, Fourier multipliers, inclusions / M. Calzi. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 526:2(2023), pp. 127285.1-127285.47. [Epub ahead of print] [10.1016/j.jmaa.2023.127285]
Besov spaces of analytic type: Interpolation, convolution, Fourier multipliers, inclusions
M. Calzi
2023
Abstract
We consider a family of Besov spaces of analytic type on the Šilov boundary N of a homogeneous Siegel domain D, and study their properties concerning 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 on N
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