Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Galia Dafni"'
Publikováno v:
Proceedings of the American Mathematical Society. 149:4341-4354
We derive bounds on the mean oscillation of the decreasing rearrangement f ∗ f^* on R + \mathbb {R}_+ in terms of the mean oscillation of f f on a suitable measure space X X . In the special case of a doubling metric measure space, the bound depend
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0483e448cebf6dcf73b26e49060b900
https://doi.org/10.1090/proc/15505
https://doi.org/10.1090/proc/15505
Autor:
Almaz Butaev, Galia Dafni
Publikováno v:
The Journal of Geometric Analysis. 31:6892-6921
We consider various definitions of functions of vanishing mean oscillation on a domain $$\Omega \subset {{{\mathbb {R}}}^n}$$ . If the domain is uniform, we show that there is a single extension operator which extends functions in these spaces to fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f6a80f14896fa925413f1ef9b305c3
https://doi.org/10.1007/s12220-020-00526-8
https://doi.org/10.1007/s12220-020-00526-8
Publikováno v:
The Journal of Geometric Analysis. 31:5740-5765
We consider the problem of the boundedness of maximal operators on $$\mathrm {BMO}_{}^{}$$ on shapes in $${\mathbb {R}}^n$$ . We prove that for bases of shapes with an engulfing property, the corresponding maximal function is bounded from $$\mathrm {
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7563c452ba2f1a5359bae4d7172c8300
https://doi.org/10.1007/s12220-020-00501-3
https://doi.org/10.1007/s12220-020-00501-3
Autor:
Ryan Gibara, Galia Dafni
Publikováno v:
Contemporary Mathematics. :1-33
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::123585b7afab4568a6101f1aa8336534
https://doi.org/10.1090/conm/748/15054
https://doi.org/10.1090/conm/748/15054
Publikováno v:
Nonlinear Analysis. 225:113110
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e91ee92181cef212b5a96372805764cc
https://doi.org/10.1016/j.na.2022.113110
https://doi.org/10.1016/j.na.2022.113110
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 8, Iss 1, Pp 335-362 (2020)
We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢. The aim is to see ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::190bc9571b3e98a6480d6f161e945d8b
http://arxiv.org/abs/2012.04110
http://arxiv.org/abs/2012.04110
Autor:
Galia Dafni, Elijah Liflyand
Publikováno v:
Complex Analysis and its Synergies. 5
We prove characterizations of Goldberg’s local Hardy space $$h^1({\mathbb {R}})$$ by means of a local Hilbert transform and a molecular decomposition. We use this decomposition to prove a version of Hardy’s inequality for the Fourier transform of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb2b4025852f953fef6628a034b45432
https://doi.org/10.1007/s40627-019-0036-2
https://doi.org/10.1007/s40627-019-0036-2
Autor:
Stephen Wainger, Anthony W. Knapp, Christopher D. Sogge, William Beckner, Carlos E. Kenig, Vickie Kearn, Alexander Nagel, Loredana Lanzani, Terence Tao, Fulvio Ricci, Harold Widom, Linda Rothschild, Rami Shakarchi, Lillian B. Pierce, Alexandru D. Ionescu, Steven G. Krantz, Karen Stein, Duong Phong, Galia Dafni, Charles Fefferman, Jeremy Stein
Publikováno v:
Notices of the American Mathematical Society. 68:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::947c9f3bb64c7586f6c535e4ea3cc004
https://doi.org/10.1090/noti2264
https://doi.org/10.1090/noti2264
We study a function space $JN_p$ based on a condition introduced by John and Nirenberg as a variant of BMO. It is known that $L^p\subset JN_{p}\subsetneq L^{p,\infty}$, but otherwise the structure of $JN_p$ is largely a mystery. Our first main result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a97b7f769269c848db4be9574309b5c
http://hdl.handle.net/10138/315207
http://hdl.handle.net/10138/315207
Publikováno v:
Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1) ISBN: 9783319309590
We prove some nonhomogeneous versions of the div-curl lemma in the context of weighted spaces. Namely, assume the vector fields \(\mathbf{V},\mathbf{W}\!\!: \mathbb{R}^{n}\rightarrow \mathbb{R}^{n}\), along with their distributional divergence and cu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f340f559e92de7b67eeeacd843a9070
https://doi.org/10.1007/978-3-319-30961-3_8
https://doi.org/10.1007/978-3-319-30961-3_8