Carleson Measures for Besov-Sobolev Spaces with Applications in the Unit Ball of Cn

Abstract

This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces B σ p (B) and p-Carleson measure in the unit ball of C n . As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on B σ p (B) spaces by means of Carleson measures for B σ p (B).