Work

Hardy—Steklov operators and Sobolev-type embedding inequalities

Year: 2016

Type: article

Abstract: We characterize weighted inequalities corresponding to the embedding of a class of absolutely continuous functions into a fractional-order Sobolev space. As auxiliary results of the paper, which are also of independent interest, we obtain several new types of necessary and sufficient conditions for the boundedness of the Hardy–Steklov operator (integral operator with two variable limits) in weighted Lebesgue spaces.

Source: Proceedings of the Steklov Institute of Mathematics

DOI: 10.1134/s0081543816040179

Authors: M. G. Nasyrova, E. P. Ushakova

Institutions: Computing Center, Far Eastern Branch of the Russian Academy of Sciences, Steklov Mathematical Institute

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Far East Branch, Russian Academy of Sciences, Russian Academy of Sciences

OpenAlex ID: W2498149293

FWCI: 2.614

Cites: 31

Cited by: 10

Related to: 10