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Siberian Mathematical Journal

, Volume 47, Issue 2, pp 324–340 | Cite as

Function classes defined from local approximations by solutions to hypoelliptic equations

  • A. V. Pokrovskii
Article

Abstract

We describe anisotropic function classes of the Campanato—Morrey type in terms of local approximations by solutions to the equation P(D)f = 0 in integral metrics, where P(D) is a quasihomogeneous hypoelliptic linear differential operator with constant coefficients.

Keywords

quasihomogeneous hypoelliptic operator local approximation Campanato—Morrey classes continuity modulus dilation function 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. V. Pokrovskii
    • 1
  1. 1.Institute of Mathematics of the National Academy of SciencesKievUkraine

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