Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications

Autor:	Erlan Nursultanov, Victor Burenkov
Rok vydání:	2021
Předmět:	Mathematics::Functional Analysis Class (set theory) Pure mathematics Mathematics (miscellaneous) Operator (computer programming) Mathematics::Classical Analysis and ODEs Type (model theory) Nonlinear operators Mathematics Interpolation
Zdroj:	Proceedings of the Steklov Institute of Mathematics. 312:124-149
ISSN:	1531-8605 0081-5438
DOI:	10.1134/s0081543821010077
Popis:	We prove new interpolation theorems for a sufficiently wide class of nonlinear operators in Morrey-type spaces. In particular, these theorems apply to Urysohn integral operators. We also obtain analogs of the Marcinkiewicz–Calderon and Stein–Weiss–Peetre interpolation theorems and establish a criterion of $$(p,q)$$ quasiweak boundedness of the Urysohn operator.
Databáze:	OpenAIRE
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