Averaging Operators Along a Certain Type of Surfaces with Hypersingularity
Sign Up to like & getrecommendations! Published in 2020 at "Taiwanese Journal of Mathematics"
DOI: 10.11650/tjm/191101
Abstract: R f(x− C(s)) ds s , x ∈ R with an appropriate curve C(s) = (s, c(s)) in Rn. It is a very well-known fact due to E. M. Stein and S. Wainger [5] that… read more here.
Keywords: along certain; type surfaces; operators along; averaging operators ... See more keywords
Isomorphisms between curve graphs of infinite-type surfaces are geometric
Sign Up to like & getrecommendations! Published in 2018 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj-2018-48-6-1887
Abstract: Let $\phi:\mathcal{C}(S)\to\mathcal{C}(S')$ be a simplicial isomorphism between the curve graphs of two infinite-type surfaces. In this paper we show that in this situation $S$ and $S'$ are homeomorphic and $\phi$ is induced by a homeomorphism… read more here.
Keywords: graphs infinite; type surfaces; isomorphisms curve; curve graphs ... See more keywords