OPTIMAL PAIRS OF SYMMETRIC SPACES FOR THE CALDERÓN TYPE OPERATORS
Journal article, 2021

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.

Symmetric sequence and operator spaces

Discrete Hilbert transform

Triangular truncation operator

Optimal symmetric range

Author

Konstantin V. Lykov

Image Processing Systems Institute, Russian Academy of Sciences

F. A. Sukochev

University of New South Wales (UNSW)

Kanat S. Tulenov

Al Farabi Kazakh National University

Alexandr Usachev

Central South University

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Pure and Applied Functional Analysis

21893756 (ISSN) 21893764 (eISSN)

Vol. 6 3 631-649

Subject Categories

Probability Theory and Statistics

Mathematical Analysis

Other Electrical Engineering, Electronic Engineering, Information Engineering

More information

Latest update

10/15/2024