# Weighted Composition Operators from Hâˆž to the Bloch Space on the Polydisc

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- Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces. Stević, S. // Siberian Mathematical Journal;Jul2009, Vol. 50 Issue 4, p726
We give a complete picture of the boundedness and compactness of the products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces of holomorphic functions on the unit disk.

- Composition operators between Bloch type spaces and Zygmund spaces in the unit ball. DAI, JINENG; OUYANG, CAIHENG // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Aug2011, Vol. 121 Issue 3, p327
The boundedness and compactness of composition operators between Bloch type spaces and Zygmund spaces of holomorphic functions in the unit ball are characterized in the paper.

- Composition Operators on Weighted Spaces of Holomorphic Functions on JB *-triples. Mackey, Michael; Sevilla-Peris, Pablo; Vallejo, José // Letters in Mathematical Physics;Apr2006, Vol. 76 Issue 1, p19
We characterise continuity of composition operators on weighted spaces of holomorphic functions H v ( B X ), where B X is the open unit ball of a Banach space which is homogeneous, that is, a JB *-triple.

- A Phragmï¿½n - Lindelï¿½f principle for slice regular functions. Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C. // Bulletin of the Belgian Mathematical Society - Simon Stevin;Nov2011, Vol. 18 Issue 4, p749
The article offers information on the Phragmï¿½n-Lindelï¿½f theorem. It states that such theorem is an extension of the maximum modulus theorem for holomorphic functions. It offers background on the theory of slice regular quarternionic functions. It also provides direct proofs of...

- Proper Holomorphic Maps from Domains in â„‚2 with Transverse Circle Action. Coffman, Adam; Yifei Pan // Chinese Annals of Mathematics;Oct2007, Vol. 28 Issue 5, p533
The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space, where the domain is of finite type and admits a transverse circle action. The main result is that the closure of each irreducible component of the branch locus of such a map...

- Holomorphic Functions on the Mixed Norm Spaces on the Polydisc II. Avetisyan, Karen; Stević, Stevo // Journal of Computational Analysis & Applications;Apr2009, Vol. 11 Issue 2, p239
The paper continues the investigation of holomorphic mixed norm spaces AÏ‰â†’p;q in the unit polydisc of Cn. We prove that a mixed norm is equivalent to a "derivative norm" for all 0 < p â‰¤ âˆž 0 < q < âˆž and a large class of weights Ï‰â†’. As an application, we prove...

- A Class of Functions Holomorphic in the Disk. Shamoyan, F. A.; Shubabko, E. N. // Journal of Mathematical Sciences;Apr2004, Vol. 120 Issue 5, p1784
We introduce a new parametric representation of the class of holomorphic functions in the unit disk such that their Nevanlinna characteristic has a power growth near the boundary of the disk. The parameters of the obtained representation are determined explicitly by values of the function. In...

- On local behavior of holomorphic functions along complex submanifolds of C N . Brudnyi, Alexander // Inventiones Mathematicae;Aug2008, Vol. 173 Issue 2, p315
In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of C N . As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein type inequalities on transcendental curves in C2.

- Boundedness and compactness of an integral operator between Hâˆž and a mixed norm space on the polydisk. Stević, Stevo // Siberian Mathematical Journal;May2009, Vol. 50 Issue 3, p495
This addendum to [1] completely characterizes the boundedness and compactness of a recently introduced integral type operator from the space of bounded holomorphic functions Hâˆž( $$ \mathbb{D}^n $$) on the unit polydisk $$ \mathbb{D}^n $$ to the mixed norm space [Figure not available: see...