On conditions of boundedness of convolution operators in symmetric spaces

B.I. Peleshenko (Dnipropetrovsk State Agrarian University)

Abstract


We study interconnection between sufficient conditions of Hörmander and Hardy-Littlewood-Sobolev types of boundedness of integral convolution operators in symmetric spaces.

References


Krein S.G., Petunin Yu.I., Semionov Ye.M. Interpolation of linear operators, Nauka, 1978. (in Russian)

Peleshenko B.I. "On singular integral convolution operators of weak type", Trudy MIAN SSSR, 1987; 180: pp. 174-175. (in Russian)

Stepanov V.D. "On integral convolution operators", Dokl. AN SSSR, 1978; 243(1): pp. 45-48. (in Russian)

Hörmander L. Estimates for operators that are invariant w.r.t. translation, 1962. (in Russian)




DOI: https://doi.org/10.15421/249814

  

Refbacks

  • There are currently no refbacks.


Copyright (c) 1998 B.I. Peleshenko

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Registered in

  More►

ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
DNU