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Approximation Theory and its Applications

, Volume 13, Issue 3, pp 104–111 | Cite as

Plancherel—Pôlya type inequality and its applications

  • Y. S. Han
Article
  • 9 Downloads

Abstract

In this note, using the discrete Calderon type reproducing formula, we prove the Plancherel-Pôlya type inequality with the minimum regularity. As a consequence, we give a new characterization of the Besov and Triebel-Lizorkin spaces by use of the mininum regularity.

Keywords

Entire Function Besov Space Type Inequality Large Integer Equivalent Norm 
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References

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  3. [H2] Han Y. S. Discerete Calderon Reproducing Formula on Spaces of Homogeneous type. Preprint.Google Scholar
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Copyright information

© Springer 1997

Authors and Affiliations

  • Y. S. Han
    • 1
  1. 1.Department of Mathematics Auburn UniversityAuburn UniversityUSA

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