Saeed Hashemi Sababe - Department of Mathematics, Payame Noor University (PNU), P.O. Box, ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
Ali Ebadian - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.

This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels and prove some theorems in this subject.

Reproducing kernel, Multipliers, Vector-valued spaces