Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Dafni Galia"'
Autor:
Dafni, Galia, Shaabani, Shahaboddin
Weak-type quasi-norms are defined using the mean oscillation or the mean of a function on dyadic cubes, providing discrete analogues and variants of the corresponding quasi-norms on the upper half-space previously considered in the literature. Compar
Externí odkaz:
http://arxiv.org/abs/2409.07395
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 8, Iss 1, Pp 335-362 (2020)
We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢. The aim is to see ho
Externí odkaz:
https://doaj.org/article/8489f9637d6a4a5ab9bbff6acf09b02c
Autor:
Dafni, Galia, Lau, Chun Ho
We first consider two types of localizations of singular integral operators of convolution type, and show, under mild decay and smoothness conditions on the auxiliary functions, that their boundedness on the local Hardy space $h^1(\mathbb{R}^n)$ is e
Externí odkaz:
http://arxiv.org/abs/2302.00542
In this work we present necessary cancellation conditions for the continuity of linear operators in $h^p(\mathbb{R}^n)$, $0
Externí odkaz:
http://arxiv.org/abs/2210.05786
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
We study the decreasing rearrangement of functions in VMO, and show that for rearrangeable functions, the mapping f -> f* preserves vanishing mean oscillation. Moreover, as a map on BMO, while bounded, it is not continuous, but continuity holds at po
Externí odkaz:
http://arxiv.org/abs/2201.05130
In this work we present a new approach to molecules on Goldberg's local Hardy spaces $h^p(\mathbb{R}^n)$, $0
Externí odkaz:
http://arxiv.org/abs/2112.12570
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
We study the space BMO in the general setting of a measure space $\mathbb{X}$ with a fixed collection $\mathscr{G}$ of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in $\mathscr{G}$. The a
Externí odkaz:
http://arxiv.org/abs/2012.04110
Publikováno v:
In Advances in Mathematics February 2024 437