A weak type (1, 1) estimate for the Hilbert operator in higher-dimensional setting

Sukochev F. Tulenov K. Zanin D.
2022 Institute of Mathematics. Polish Academy of Sciences

Studia Mathematica
2022 #265 Issue 3 241 - 256 pp.

We obtain a weak type (1,1) estimate for a higher-dimensional version of the Hilbert operator, answering an open problem by A. Osękowski [Ann. Probab. 45 (2017)]. In fact, we establish complete boundedness of this operator.

Calderón operator , Hilbert operator , semifinite von Neumann algebra , symmetric (quasi-)Banach function space , weak type (1, 1) estimate

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School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, NSW, Australia
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan

School of Mathematics and Statistics
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling

10 лет помогаем публиковать статьи Международный издатель

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