Generalized Dirichlet Growth Theorem and Applications to Hypoelliptic and Equations

DOI10.1080/03605309708821331zbMath0901.58061OpenAlexW2032383133MaRDI QIDQ4385692

Hitoshi Arai

Publication date: 17 November 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821331

zbMATH Keywords

distributionsSobolev embedding theoremCR manifoldHörmander conditionpseudodifferential equations\(\overline \partial_b\) equationDirichlet growth theorem

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

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• Balls and metrics defined by vector fields. I: Basic properties
• Lipschitz functions on spaces of homogeneous type
• Pseudodifferential operators on groups with dilations
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces

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