# Constructive description of analytic Besov spaces in strictly   pseudoconvex domains

**Authors:** Aleksandr Rotkevich

arXiv: 1907.01584 · 2019-07-04

## TL;DR

This paper characterizes analytic Besov spaces in strictly pseudoconvex domains using pseudoanalytic continuation and polynomial approximations, linking boundary values with function space properties.

## Contribution

It introduces a new method for describing Besov spaces of holomorphic functions via pseudoanalytic continuation in complex domains.

## Key findings

- Characterization of Besov spaces through polynomial approximations
- Connection between boundary values and function space properties
- Application of pseudoanalytic continuation method

## Abstract

We use the method of pseudoanalytic continuation to obtain a characterization of spaces of holomorphic functions with boundary values in Besov spaces in terms of polynomial approximations.

## Full text

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## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1907.01584/full.md

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Source: https://tomesphere.com/paper/1907.01584