Volterra Type Integration Operators from Weighted Bergman Spaces to Hardy Spaces in the Unit Ball of ℂⁿ

Abstract

The authors provide a complete characterization of the boundedness and compactness of the Volterra type integration operator T_g from weighted Bergman spaces A_ω^p, induced by doubling weights ω, to Hardy spaces H^q in the unit ball of ℂⁿ, for all 0 < p, q < ∞.

Keywords

Bergman space / Hardy space / Volterra type integration operator / 32A36 / 47B38

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