Abstract

The boundedness and compactness of an integral-type operator recently introduced by the author from Zygmund-type spaces to the mixed-norm space on the unit ball are characterized here.

Highlights

  • Let {z ∈ n : |z| < 1} be the open unit ball in n, ∂ its boundary, dVN the normalized volume measure on, and H the class of all holomorphic functions on

  • For 0 < p, q < ∞, and φ normal, the mixed-norm space H p, q, φ consists of all functions f ∈ H such that f H p,q,φ

  • Assume g ∈ H, g 0 0, and φ is a holomorphic self-map of, we define an operator on H by

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Summary

Stevo Stevic

Mathematical Institute of the Serbian Academy of Sciences and Arts, 36/III Knez Mihailova, 11000 Belgrade, Serbia. The boundedness and compactness of an integral-type operator recently introduced by the author from Zygmund-type spaces to the mixed-norm space on the unit ball are characterized here

Êf z β aβzβ
Abstract and Applied Analysis
Zμ consisting of functions f satisfying the following condition
Pφg f z f φ tz g tz dt t
Auxiliary Results
Gz g
Full Text
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