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In this work, deBranges–Rovnyak spaces, , on the unit ball of are studied. An integral representation of the functions in through the Clark measure on associated with b is given… Click to show full abstract
In this work, deBranges–Rovnyak spaces, , on the unit ball of are studied. An integral representation of the functions in through the Clark measure on associated with b is given and a characterization of admissible boundary limits is given in relation with finite angular derivatives. Lastly, the interplay between Clark measures and angular derivatives is examined and it is obtained that Clark measure associated with b has an atom at a boundary point if and only if b has finite angular derivative at the same point.
Keywords:
derivatives boundary;
unit ball;
angular derivatives;
spaces unit
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2020
Link to full text (if available)
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recommendations!