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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2023 Volume 323, Pages 181–195 (Mi tm4364)

This article is cited in 1 paper

Interpolation of Operators in Hardy-Type Spaces

V. G. Krotov

Belarusian State University, prosp. Nezavisimosti 4, Minsk, 220030, Belarus

Abstract: A number of statements similar to the Marcinkiewicz interpolation theorem are presented. The difference from the classical forms of this theorem is that the spaces of integrable functions are replaced by certain classes of functions that are extensions of various Hardy spaces.

Keywords: nontangent maximal function, Hardy spaces, Marcinkiewicz interpolation theorem.

UDC: 517.982.27

Received: January 9, 2023
Revised: July 10, 2023
Accepted: August 15, 2023

DOI: 10.4213/tm4364


 English version:
Proceedings of the Steklov Institute of Mathematics, 2023, 323, 173–187

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© Steklov Math. Inst. of RAS, 2024