Some characterizations of upper doubling conditions on metric measure spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201400347
Abstract: We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytonen for non-homogeneous metric measure spaces. We also introduce the “smooth strong upper doubling” condition and provide equivalent characterizations,… read more here.
Keywords: upper doubling; characterizations upper; metric measure; doubling conditions ... See more keywords
Universal inequalities on complete noncompact smooth metric measure spaces
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DOI: 10.1007/s00013-017-1099-z
Abstract: In this paper, we obtain universal inequalities for the eigenvalues of the Dirichlet problem and clamped plate problem of drifting Laplacian on ($$n+1$$n+1)-dimensional ($$n\ge 4$$n≥4) complete noncompact simply connected smooth metric measure spaces which meet… read more here.
Keywords: complete noncompact; metric measure; smooth metric; universal inequalities ... See more keywords
On the domains of Dirichlet forms on metric measure spaces
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DOI: 10.1007/s00209-022-02987-9
Abstract: We prove that the domain of the local Dirichlet form is strictly contained in the domain of any stable-like non-local Dirichlet form on general metric measure spaces. read more here.
Keywords: measure spaces; domains dirichlet; dirichlet forms; metric measure ... See more keywords
Generalized Carleson embeddings into weighted outer measure spaces
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DOI: 10.1016/j.jmaa.2021.125698
Abstract: We prove generalized Carleson embeddings for the continuous wave packet transform from $L^p(\mathbb{R},w)$ into an outer $L^p$ space for $2< p < \infty$ and weight $w \in A_{p/2}$. This work is a weighted extension of… read more here.
Keywords: outer measure; carleson embeddings; generalized carleson; weighted outer ... See more keywords
N-Lusin property in metric measure spaces: A new sufficient condition
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DOI: 10.1515/forum-2018-0016
Abstract: In this work, we are concerned with the study of the N-Lusin property in metric measure spaces. A map satisfies that property if sets of measure zero are mapped to sets of measure zero. We… read more here.
Keywords: measure; lusin property; property; metric measure ... See more keywords