This article is cited in 4 papers

Function classes defined from local approximations by solutions to hypoelliptic equations

A. V. Pokrovskii

Institute of Mathematics, Ukrainian National Academy of Sciences

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.

UDC: 517.51

Received: 17.12.2004

 English version: Siberian Mathematical Journal, 2006, 47:2, 324–340

Bibliographic databases:

• 
• 
• 
• 
•