scholarly journals Exceptional sets for the derivatives of Blaschke products

2008 ◽  
pp. 163-170
Author(s):  
Javad Mashreghi ◽  
Emmanuel Fricain
Keyword(s):  
Blaschke Products ◽  
Exceptional Sets ◽  
Derivatives Of

scholarly journals $H^p$-derivatives of Blaschke products.

1976 ◽  
Vol 23 (1) ◽  
pp. 43-51 ◽  
Author(s):  
C. N. Linden
Keyword(s):  
Blaschke Products ◽  
Derivatives Of

scholarly journals Derivatives of Blaschke Products and Model Space Functions

2019 ◽  
Vol 63 (4) ◽  
pp. 716-725
Author(s):  
David Protas
Keyword(s):  
Blaschke Product ◽  
Bergman Spaces ◽  
Model Space ◽  
Weighted Bergman Spaces ◽  
Blaschke Products ◽  
Distribution Of Zeros ◽  
The Relationship ◽  
Derivatives Of

AbstractThe relationship between the distribution of zeros of an infinite Blaschke product $B$ and the inclusion in weighted Bergman spaces $A_{\unicode[STIX]{x1D6FC}}^{p}$ of the derivative of $B$ or the derivative of functions in its model space $H^{2}\ominus \mathit{BH}^{2}$ is investigated.

Remark on Integral Means of Derivatives of Blaschke Products

2018 ◽  
Vol 61 (3) ◽  
pp. 640-649 ◽  
Author(s):  
Atte Reijonen
Keyword(s):  
Blaschke Product ◽  
Unit Disc ◽  
Regularity Condition ◽  
Blaschke Products ◽  
Integral Means ◽  
Area Measure ◽  
Lebesgue Area ◽  
Derivatives Of

AbstractIf B is the Blachke product with zeros {zn}, then , whereMoreover, it is a well-known fact that, for 0 < p < ∞,is bounded if and only if Mp(r, ΨB) is bounded. We find a Blaschke product B0 such that Mp(r, ) and Mp(r, ) are not comparable for any < p < ∞. In addition, it is shown that, if 0 < p < ∞, B is a Carleson–Newman Blaschke product and a weight ω satisfies a certain regularity condition, thenwhere d A(z) is the Lebesgue area measure on the unit disc.

scholarly journals INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT

2007 ◽  
Vol 50 (3) ◽  
pp. 673-687 ◽  
Author(s):  
Daniel Girela ◽  
José Ángel Peláez ◽  
Dragan Vukotić
Keyword(s):  
Blaschke Product ◽  
Bergman Spaces ◽  
Blaschke Products ◽  
Hardy And Bergman Spaces ◽  
Interpolating Blaschke Products ◽  
Derivatives Of

AbstractWe study the membership of derivatives of Blaschke products in Hardy and Bergman spaces, especially for the the interpolating Blaschke products and for those whose zeros lie in a Stolz domain. We obtain new and very simple proofs of some known results and prove new theorems that complement or extend the earlier works of Ahern, Clark, Cohn, Kim, Newman, Protas, Rudin, Vinogradov and others.

scholarly journals Radial nth Derivatives of Blaschke Products.

1971 ◽  
Vol 28 ◽  
pp. 189 ◽  
Author(s):  
P. R. Ahern ◽  
D. N. Clark
Keyword(s):  
Blaschke Products ◽  
Derivatives Of

scholarly journals INTEGRAL MEANS OF THE DERIVATIVES OF BLASCHKE PRODUCTS

2008 ◽  
Vol 50 (2) ◽  
pp. 233-249 ◽  
Author(s):  
EMMANUEL FRICAIN ◽  
JAVAD MASHREGHI
Keyword(s):  
Blaschke Product ◽  
Blaschke Products ◽  
Integral Means ◽  
Rate Of Growth ◽  
Model Subspace ◽  
Derivatives Of

AbstractWe study the rate of growth of some integral means of the derivatives of a Blaschke product and we generalize several classical results. Moreover, we obtain the rate of growth of integral means of the derivative of functions in the model subspaceKBgenerated by the Blaschke productB.

scholarly journals Derivatives of Blaschke products

1984 ◽  
Vol 114 (1) ◽  
pp. 175-190 ◽  
Author(s):  
Hong Kim
Keyword(s):  
Blaschke Products ◽  
Derivatives Of
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