On the Hilbert-type operators acting from function spaces into sequence spaces

Abstract

In this paper we introduce and study some Hilbert-type operators acting from the function spaces into the sequence spaces. We give some sufficient and necessary conditions for the boundedness and compactness of these Hilbert-type operators. Also, for some special cases, we obtain the sharp estimates for the norms of certain Hilbert-type operators.

Rocky Mountain Journal of Mathematics, to appear