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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 394–413 (Mi smj865)  
This article is cited in 4 scientific papers (total 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
Full-text PDF (298 kB) Citations (4)
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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.
Received: 17.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 324–340
DOI: https://doi.org/10.1007/s11202-006-0046-1
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: A. V. Pokrovskii, “Function classes defined from local approximations by solutions to hypoelliptic equations”, Sibirsk. Mat. Zh., 47:2 (2006), 394–413; Siberian Math. J., 47:2 (2006), 324–340
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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