This is an announcement for the paper "weighted conditional type operators between different Orlicz spaces" by Yousef Estaremi.

Abstract: In this note we consider weighted conditional type operators between different Orlicz spaces and generalized conditional type Holder inequality that we defined in [2]. Then we give some necessary and sufficient conditions for boundedness of weighted conditional type operators. As a consequence we characterize boundedness of weighted conditional type operators and multiplication operators between different L^p-spaces. Finally, we give some upper and lower bounds for essential norm of weighted conditional type operators.

Archive classification: math.FA

Remarks: 13 pages

Submitted from: estaremi@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1502.03422

or

http://arXiv.org/abs/1502.03422