Work

The Images of Integration Operators in Weighted Function Spaces

Year: 2022

Type: article

Abstract: We obtain conditions for the validity of norm inequalities on the images and preimages of integration operators of positive integer orders in the Besov and Triebel–Lizorkin spaces with local Muckenhoupt weights on $ {𝕉}^{N} $ . As application, we establish a connection between the entropy and approximative numbers of the embedding operators and the same characteristics of the integration operators.

Source: Siberian Mathematical Journal

DOI: 10.1134/s0037446622060167

Author: E. P. Ushakova

Institutions: Russian Academy of Sciences, Steklov Mathematical Institute, Computing Center, Far Eastern Branch of the Russian Academy of Sciences, V. A. Trapeznikov Institute of Control Sciences

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3107112418

FWCI: 1.691

Cites: 34

Cited by: 6

Related to: 20