International Journal of Nonlinear Analysis and Applications

On the action of Toeplits operators into new BMOA type spaces in the unit disk

Document Type : Research Paper

Authors

1 Saratov National Research State University named after N. G. Chernyshevsky, Russia

2 Department of Higher Mathematics, St. Petersburg Mining University, Russia

Abstract

 We provide new sharp results on the action of Toeplitz operators from Triebel and Besov spaces to new BMOA-type function spaces on the unit disk.  In this paper, we consider $s\geq1$ case in previous papers $s<1$ was covered for $BMOA_{s,q}$ and $BMOA_s^p$ spaces. We modify a little our previously known proofs.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 5
May 2025
Pages 77-85
  • Receive Date: 18 January 2024
  • Accept Date: 16 March 2024