Interpolating Blaschke products and the ideals of the algebra H?

1984 ◽  
Vol 27 (1) ◽  
pp. 2549-2553 ◽  
Author(s):  
V. A. Tolokonnikov
Keyword(s):  
Blaschke Products ◽  
Interpolating Blaschke Products

Blaschke products in Lipschitz spaces

2009 ◽  
Vol 52 (3) ◽  
pp. 689-705 ◽  
Author(s):  
Miroljub Jevtić
Keyword(s):  
Blaschke Products ◽  
Lipschitz Spaces ◽  
Interpolating Blaschke Products

AbstractWe study the membership of Blaschke products in Lipschitz spaces, especially for interpolating Blaschke products and for those whose zeros lie in a Stolz angle. We prove several theorems that complement or extend the earlier works of Ahern and the author.

Cluster sets of interpolating Blaschke products

2005 ◽  
Vol 96 (1) ◽  
pp. 369-395 ◽  
Author(s):  
Pamela Gorkin ◽  
Raymond Mortini
Keyword(s):  
Blaschke Products ◽  
Cluster Sets ◽  
Interpolating Blaschke Products

scholarly journals Maximal subalgebra of Douglas algebra

1988 ◽  
Vol 11 (4) ◽  
pp. 735-741
Author(s):  
Carroll J. Gullory
Keyword(s):  
Blaschke Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Blaschke Products ◽  
Maximal Subalgebra ◽  
Interpolating Blaschke Product ◽  
Douglas Algebra ◽  
Necessary And Sufficient ◽  
Interpolating Blaschke Products ◽  
Douglas Algebras

Whenqis an interpolating Blaschke product, we find necessary and sufficient conditions for a subalgebraBofH∞[q¯]to be a maximal subalgebra in terms of the nonanalytic points of the noninvertible interpolating Blaschke products inB. If the setM(B)⋂Z(q)is not open inZ(q), we also find a condition that guarantees the existence of a factorq0ofqinH∞such thatBis maximal inH∞[q¯]. We also give conditions that show when two arbitrary Douglas algebrasAandB, withA⫅Bhave property thatAis maximal inB.

scholarly journals Interpolating Blaschke Products: Stolz and Tangential Approach Regions

2007 ◽  
Vol 27 (2) ◽  
pp. 203-216 ◽  
Author(s):  
Daniel Girela ◽  
Jose Angel Pelaez ◽  
Dragan Vukotic
Keyword(s):  
Blaschke Products ◽  
Interpolating Blaschke Products

scholarly journals Interpolating Blaschke products

1996 ◽  
Vol 173 (2) ◽  
pp. 491-499 ◽  
Author(s):  
Donald Marshall ◽  
Arne Stray
Keyword(s):  
Blaschke Products ◽  
Interpolating Blaschke Products

scholarly journals Multipliers and closures of Besov-type spaces in the Bloch space

Filomat ◽  
2021 ◽  
Vol 35 (2) ◽  
pp. 645-655
Author(s):  
Dongxia Li ◽  
Liu Yang
Keyword(s):  
Weight Function ◽  
Bloch Space ◽  
Blaschke Products ◽  
Negative Function ◽  
Type Spaces ◽  
Interpolating Blaschke Products ◽  
Besov Type Spaces

Let p > 1 and let ? be a non-negative function defined in R+. A function f ? H(D) belongs to the space Bp(?) (see [4]) if ||f||p Bp(?) = |f(0)jp + ?D |(1-|z|2) f?(z)|p ?(1-|z|2)/(1-|z|2)2 dA(z) < ?. In this paper, motivated by the works of B?koll? and Bao and G???s, under some conditions on the weight function ?, we investigate the closures CB(B ? Bp(?)) of the spaces B ? Bp(?) in the Bloch space. Moreover we prove that interpolating Blaschke products in CB(B ? Bp(?)) are multipliers of Bp(?) ? BMOA.

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