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Multidimensional Inequalities of Hardy and (Limit) Póolya-Knopp Types

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Analysis for Science, Engineering and Beyond

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 6))

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Abstract

In this review paper we complement the classical two-dimensional Hardy-type inequality by E. Sawyer (see MR87f:42052) in various ways. In particular, ideas and results from three recent Ph.D. theses are unified and presented in this frame. Also some complementary new results are proved and some open questions are raised.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Luleå University of Technology, SE-97187, Luleå, Sweden

    Maria Johansson & Lars-Erik Persson

  2. Narvik University College, 385, N 8505, Narvik, Norway

    Lars-Erik Persson

Authors
  1. Maria Johansson
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  2. Lars-Erik Persson
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Corresponding author

Correspondence to Maria Johansson .

Editor information

Editors and Affiliations

  1. Centre for Mathematical Sciences, Lund University, Sölvegatan 18, Lund, 221 00, Sweden

    Kalle Åström

  2. Dept. Mathematics, Luleå University of Technology, Luleå, 971 87, Sweden

    Lars-Erik Persson

  3. Centre for Mathematical Sciences, Lund University, Lund, Sweden

    Sergei D. Silvestrov

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Johansson, M., Persson, LE. (2012). Multidimensional Inequalities of Hardy and (Limit) Póolya-Knopp Types. In: Åström, K., Persson, LE., Silvestrov, S. (eds) Analysis for Science, Engineering and Beyond. Springer Proceedings in Mathematics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20236-0_10

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