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    STUDIA MATHEMATICA - Issue no. 2 / 2022  
         
  Article:   g-LOEWNER CHAINS, BLOCH FUNCTIONS AND EXTENSION OPERATORS INTO THE FAMILY OF LOCALLY BIHOLOMORPHIC MAPPINGS IN INFINITE DIMENSIONAL SPACES.

Authors:  IAN GRAHAM, HIDETAKA HAMADA, GABRIELA KOHR, MIRELA KOHR.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2022.2.01

Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 219-236

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Abstract: In this paper, we survey recent results obtained by the authors on the preservations of the first elements of (g-) Loewner chains and the Bloch mappings by the Roper-Suffridge type extension operators, the Muir type extension operators and the Pfaltzgraff-Suffridge type extension operators into the mappings on the domains in the complex Banach spaces.

Key words: Bloch function, complex Banach space, Loewner chain, Muir type extension operator, Roper-Suffridge type extension operator, Pfaltzgraff-Suffridge type extension operator.

Mathematics Subject Classification (2010): 32A18, 32A30, 32K05, 30C45, 30C80, 30D45.
 
         
     
         
         
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