RUS  ENG
Full version
JOURNALS // Adyghe International Scientific Journal // Archive

Adyghe Int. Sci. J., 2023 Volume 23, Issue 1, Pages 20–27 (Mi aman64)

MATHEMATICS

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

R. F. Shamoyan, E. B. Tomashevskaya

Bryansk State Technical University

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. We modify little our previously known proofs. We show our theorems using standard estimates of complex function theory. The proof of sufficiency and neccesity parts of our theorems follow the same type arguments as in previous already known cases. In particular we use standart test function for the proof of neccesity part and the same line of arguments as in previous already known cases. Our theorems may have many applications in complex function theory. Previously such type theorems were known in less general classses of BMOA type in the unit disk.

Keywords: Toeplitz operators, Besov type spaces, analytic functions, unit disk, BMOA type spaces.

UDC: 517.55+517.33

Received: 10.11.2022
Revised: 27.02.2023
Accepted: 17.03.2023

Language: English

DOI: 10.47928/1726-9946-2023-23-1-20-27



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025