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

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.

Authors
Number of issue
1
Language
English
Pages
124-149
Status
Published
Volume
312
Year
2021
Organizations
  • 1 RUDN Univ, SM Nikolskii Math Inst, Ul Miklukho Maklaya 6, Moscow 117198, Russia
  • 2 Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
  • 3 Lomonosov Moscow State Univ, Kazakhstan Branch, Kazhymukan Str 11, Nur Sultan 010010, Kazakhstan
  • 4 Minist Educ & Sci Republ Kazakhstan, Inst Math & Math Modeling, Pushkina Str 125, Alma Ata 050010, Kazakhstan
Date of creation
20.07.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74589/
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