A Quantitative Estimate for Bounded Point Evaluations in Pt(μ)-spaces

  • Alexandru Aleman
  • Stefan Richter
  • Carl Sundberg
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 202)


In this note we explain how X. Tolsa’s work on analytic capacity and an adaptation of Thomson’s coloring scheme can be used to obtain a quantitative version of J. Thomson’s theorem on bounded point evaluations for Pt(μ)-spaces.


Bounded point evaluation Cauchy transform 

Mathematics Subject Classification (2000)

Primary 46E15 Secondary 47B20 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • Alexandru Aleman
    • 1
  • Stefan Richter
    • 2
  • Carl Sundberg
    • 2
  1. 1.Department of MathematicsLund UniversityLundSweden
  2. 2.Department of MathematicsUniversity of TennesseeKnoxvilleUSA

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