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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Best approach regions for potential spaces
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by José A. Raposo and Javier Soria
Proc. Amer. Math. Soc. 125 (1997), 1105-1109
DOI: https://doi.org/10.1090/S0002-9939-97-03680-0

Abstract:

We characterize the approach regions so that the non-tangential maximal function is of weak-type on potential spaces, for which we use a simple argument involving Carleson measure estimates.
References
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Bibliographic Information
  • José A. Raposo
  • Affiliation: Departamento Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
  • Email: raposo@cerber.mat.ub.es
  • Javier Soria
  • Affiliation: Departamento Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
  • Email: soria@cerber.mat.ub.es
  • Received by editor(s): August 9, 1994
  • Received by editor(s) in revised form: October 4, 1995
  • Additional Notes: This work has been partially supported by DGICYT PB94–0879
  • Communicated by: J. Marshall Ash
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1105-1109
  • MSC (1991): Primary 42B25, 42B20
  • DOI: https://doi.org/10.1090/S0002-9939-97-03680-0
  • MathSciNet review: 1363181