OPTIMAL PAIRS OF SYMMETRIC SPACES FOR THE CALDERÓN TYPE OPERATORS
Lykov K.V. Sukochev F.A. Tulenov K.S. Usachev A.S.
2021Yokohama Publications
Pure and Applied Functional Analysis
2021#6Issue 3631 - 649 pp.
We identify the optimal pairs of symmetric spaces (X, Y) such that the discrete Hilbert transform, the Calderón operator and the triangular truncation operator act boundedly from X to Y.
Discrete Hilbert transform , Optimal symmetric range , Symmetric sequence and operator spaces , Triangular truncation operator
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Image Processing Systems Institute, Branch of the Federal Scientific Research Centre ”Crystal-lography and Photonics” of Russian Academy of Sciences, 443001 Samara, Russia and Faculty of Information Technology, Samara National Research University, Samara, 443086, Russian Federation
School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, NSW, Australia
Al-Farabi Kazakh National University, Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
School of Mathematics and Statistics, Central South University, Hunan, 410085, China
Department of Mathematical Sciences, Chalmers University of Technology, University of Gothenburg, Gothenburg, SE-412 96, Sweden
Image Processing Systems Institute
School of Mathematics and Statistics
Al-Farabi Kazakh National University
School of Mathematics and Statistics
Department of Mathematical Sciences
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