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On the Growth of the Dirichlet Integral for Some Function Spaces

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Abstract

The growth of the Dirichlet integral for functions belonging to Q p but not to the Dirichlet space is considered. These results are shown to be sharp in a certain sense.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Joensuu, P.O. Box 111, FI-80101, Joensuu, Finland

    Rauno Aulaskari

  2. College of Science, Department of Mathematics & Statistics, Sultan Qaboos University, P. O. Box 36, PC 123, Al Khod, Muscat, Sultanate of Oman

    Shamil Makhmutov

Authors
  1. Rauno Aulaskari
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  2. Shamil Makhmutov
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Corresponding author

Correspondence to Rauno Aulaskari.

Additional information

Dedicated to Walter Hayman on the occasion of his 80th birthday

This research has been supported in part by the Academy of Finland project 210245.

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Aulaskari, R., Makhmutov, S. On the Growth of the Dirichlet Integral for Some Function Spaces. Comput. Methods Funct. Theory 8, 475–482 (2008). https://doi.org/10.1007/BF03321699

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  • DOI: https://doi.org/10.1007/BF03321699

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