On multipliers of reproducing kernel Banach and Hilbert spaces

TL;DR

This paper investigates the properties of multipliers in reproducing kernel Banach and Hilbert spaces, aiming to extend existing concepts and establish new theoretical results in this area.

Contribution

It introduces extensions of the multiplier concept in reproducing kernel spaces and proves new theorems related to their properties.

Findings

Extended the concept of multipliers to broader classes of spaces

Proved new theorems on the structure of multipliers

Enhanced understanding of reproducing kernel Banach and Hilbert spaces

Abstract

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 tried to extend this concept and prove some theorems.