A CR Analogue of Yau’s Conjecture on Pseudoharmonic Functions of Polynomial Growth

Autor:	Shu-Cheng Chang, Yingbo Han, Der-Chen Chang, Jingzhi Tie
Rok vydání:	2019
Předmět:	Pure mathematics Polynomial Conjecture Degree (graph theory) Volume growth General Mathematics Mean value Space (mathematics) Heat kernel Mathematics Sobolev inequality
Zdroj:	Canadian Journal of Mathematics. 71:1367-1394
ISSN:	1496-4279 0008-414X
DOI:	10.4153/cjm-2018-024-3
Popis:	In this paper, we first derive the CR volume doubling property, CR Sobolev inequality, and the mean value inequality. We then apply them to prove the CR analogue of Yau’s conjecture on the space consisting of all pseudoharmonic functions of polynomial growth of degree at most$d$in a complete noncompact pseudohermitian$(2n+1)$-manifold. As a by-product, we obtain the CR analogue of the volume growth estimate and the Gromov precompactness theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::34210fb86a5e2295709b3c976dd47bec https://doi.org/10.4153/cjm-2018-024-3 Zobrazit plný text záznamu