The faber operator

1984 ◽  
pp. 1-10 ◽  
Author(s):  
J. M. Anderson
Keyword(s):  
Faber Operator

Exact estimates for Faber polynomials and for norm of Faber operator

2019 ◽  
Vol 65 (2) ◽  
pp. 293-305
Author(s):  
F. G. Abdullayev ◽  
V. V. Savchuk ◽  
T. Tunç
Keyword(s):  
Faber Polynomials ◽  
Faber Operator

An Extended Faber Operator

2003 ◽  
Vol 19 (3) ◽  
pp. 399-410 ◽  
Author(s):  
Müller
Keyword(s):  
Faber Operator

scholarly journals The Faber Operator and its Boundedness

1999 ◽  
Vol 101 (2) ◽  
pp. 265-277 ◽  
Author(s):  
Dieter Gaier
Keyword(s):  
Faber Operator

scholarly journals Dirichlet spaces of domains bounded by quasicircles

2019 ◽  
Vol 22 (03) ◽  
pp. 1950022 ◽  
Author(s):  
David Radnell ◽  
Eric Schippers ◽  
Wolfgang Staubach
Keyword(s):  
Dirichlet Space ◽  
Dirichlet Spaces ◽  
Boundary Values ◽  
Multiply Connected Domain ◽  
Direct Sums ◽  
Multiply Connected ◽  
Direct Sum ◽  
Grunsky Operator ◽  
Faber Operator

Consider a multiply-connected domain [Formula: see text] in the sphere bounded by [Formula: see text] non-intersecting quasicircles. We characterize the Dirichlet space of [Formula: see text] as an isomorphic image of a direct sum of Dirichlet spaces of the disk under a generalized Faber operator. This Faber operator is constructed using a jump formula for quasicircles and certain spaces of boundary values. Thereafter, we define a Grunsky operator on direct sums of Dirichlet spaces of the disk, and give a second characterization of the Dirichlet space of [Formula: see text] as the graph of the generalized Grunsky operator in direct sums of the space [Formula: see text] on the circle. This has an interpretation in terms of Fourier decompositions of Dirichlet space functions on the circle.

A note on Faber operator

2013 ◽  
Vol 30 (3) ◽  
pp. 499-504 ◽  
Author(s):  
Hua Ying Wei ◽  
Mei Li Wang ◽  
Yun Hu
Keyword(s):  
Faber Operator
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