Open AccessTrends in Banach Spaces and Operator Theory
Author(s) -
Anna KamiÅska
Publication year - 2003
Publication title -
contemporary mathematics - american mathematical society
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.106
H-Index - 12
eISSN - 1098-3627
pISSN - 0271-4132
DOI - 10.1090/conm/321
Subject(s) - finite rank operator , mathematics , banach space , pure mathematics
In this note we show that analytic self-maps phi of the unit disk inducing Hilbert-Schmidt composition operators C-phi on the weighted Dirichlet space D-alpha satisfy that the set E-phi = {e(itheta) is an element of partial derivativeD : |phi(e(itheta))| = 1} has zero alpha-capacity
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