Výsledky vyhledávání - "Butaev, Almaz"

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Construction of a Dirichlet form on metric measure spaces of controlled geometry

Autor: Butaev, Almaz, Luo, Liangbing, Shanmugalingam, Nageswari

Given a compact doubling metric measure space $X$ that supports a $2$-Poincar\'e inequality, we construct a Dirichlet form on $N^{1,2}(X)$ that is comparable to the upper gradient energy form on $N^{1,2}(X)$. Our approach is based on the approximatio

Externí odkaz: http://arxiv.org/abs/2310.14436

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Local vanishing mean oscillation

Autor: Butaev, Almaz, Dafni, Galia

We consider various notions of vanishing mean oscillation on a (possibly unbounded) domain $\Omega \subset \mathbb{R}^n$, and prove an analogue of Sarason's theorem, giving sufficient conditions for the density of bounded Lipschitz functions in the n

Externí odkaz: http://arxiv.org/abs/2209.01243

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Locally uniform domains and extension of bmo functions

Autor: Butaev, Almaz, Dafni, Galia

We prove that for a domain $\Omega \subset \mathbb{R}^n$, being $(\epsilon,\delta)$ in the sense of Jones is equivalent to being an extension domain for bmo$(\Omega)$, the nonhonomogeneous version of the space of function of bounded mean oscillation

Externí odkaz: http://arxiv.org/abs/2101.04587

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On the extension of VMO functions

Autor: Butaev, Almaz, Dafni, Galia

We consider functions of vanishing mean oscillation on a bounded domain $\Omega$ and prove a $\rm{VMO}$ analogue of the extension theorem of P. Jones for $\rm{BMO}(\Omega)$. We show that if $\Omega$ satisfies the same condition imposed by Jones (i.e.

Externí odkaz: http://arxiv.org/abs/1809.01049

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On some refinements of the embedding of critical Sobolev spaces into BMO

Autor: Butaev, Almaz

We introduce the non-homogeneous analogs of Van Schaftingen's classes. We show that these classes refine the embedding $W^{1,n}\subset bmo$. The analogous results established on bounded Lipschitz domains and Riemannian manifolds with bounded geometry

Externí odkaz: http://arxiv.org/abs/1710.04366

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