CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cn

doi:10.1016/S0252-9602(16)30028-5

Abstract

Abstract:

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of Cⁿ, which contain many classical function spaces, such as the Bloch space, BMOA and Q_s spaces. The boundedness and compactness of these operators on F(p, q, s) spaces are characterized by means of an embedding theorem, i.e., F(p, q, s) spaces boundedly embedded into the tent-type spaces T_p,s^∞(μ).

Key words: Carleson measures, F(p,q,s) spaces, tent-type spaces, Riemann-Stieltjes operators, multipliers

CLC Number:

32A37

Ru PENG, You WU, Fangwen DENG. CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ[J].Acta mathematica scientia,Series B, 2016, 36(3): 635-654.

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CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ

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