Results 1 to 10 of about 31,456 (265)

The Dirichlet problem for elliptic operators having a BMO anti-symmetric part [PDF]

open access: yesMathematische Annalen, 2019
The present paper establishes the first result on the absolute continuity of elliptic measure with respect to the Lebesgue measure for a divergence form elliptic operator with non-smooth coefficients that have a $${{\,\mathrm{BMO}\,}}$$ BMO anti ...
S. Hofmann   +3 more
semanticscholar   +1 more source

Multilinear strongly singular integral operators with generalized kernels and applications

open access: yesAIMS Mathematics, 2021
In this paper, the authors study the boundedness properties of a class of multilinear strongly singular integral operator with generalized kernels on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces, respectively ...
Shuhui Yang, Yan Lin
doaj   +1 more source

Upper Bound for Multi-parameter Iterated Commutators [PDF]

open access: yes, 2015
We show that the product BMO space can be characterized by iterated commutators of a large class of Calder\'on-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol ...
Dalenc, Laurent, Ou, Yumeng
core   +3 more sources

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S.   +2 more
doaj   +1 more source

A Topographic Comparison of OCT Minimum Rim Width (BMO-MRW) and Circumpapillary Retinal Nerve Fiber Layer (cRNFL) Thickness Measures in Eyes With or Suspected Glaucoma

open access: yesJournal of glaucoma, 2020
Précis: Bruch’s membrane opening-minimum rim width (BMO-MRW) and circumpapillary retinal nerve fiber layer (cRNFL) thickness measures may be improved by comparing probability levels and accounting for blood vessel locations.
sol la bruna   +6 more
semanticscholar   +1 more source

Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets [PDF]

open access: yesAnalysis & PDE, 2018
In the recent work [DFM1, DFM2] G. David, J. Feneuil, and the first author have launched a program devoted to an analogue of harmonic measure for lower-dimensional sets.
S. Mayboroda, Zihui Zhao
semanticscholar   +1 more source

On the equivalence between weak BMO and the space of derivatives of the Zygmund class

open access: yesDemonstratio Mathematica, 2021
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions
Kwessi Eddy
doaj   +1 more source

Bruch’s Membrane Opening Minimum Rim Width Measurement with SD-OCT: A Method to Correct for the Opening Size of Bruch’s Membrane

open access: yesJournal of Ophthalmology, 2017
A precise evaluation of the retinal nerve fiber layer thickness (RNFLT) is key for diagnosing and monitoring glaucoma. The Bruch’s membrane opening minimum rim width (BMO-MRW) has been proposed as a reproducible assessment of the optic nerve. The BMO-MRW
Robert Kromer, Martin Stephan Spitzer
doaj   +1 more source

Weighted little bmo and two-weight inequalities for Journé commutators [PDF]

open access: yes, 2017
We characterize the boundedness of the commutators $[b, T]$ with biparameter Journe operators $T$ in the two-weight, Bloom-type setting, and express the norms of these commutators in terms of a weighted little $bmo$ norm of the symbol $b$.
I. Holmes, S. Petermichl, B. Wick
semanticscholar   +1 more source

Offset of openings in optic nerve head canal at level of Bruch’s membrane, anterior sclera, and lamina cribrosa

open access: yesScientific Reports, 2021
We compared the central retinal vascular trunk (CRVT) position, as a surrogate of lamina cribrosa (LC) offset, with the anterior scleral opening (ASCO) offset from the Bruch’s membrane opening (BMO).
Kyoung Min Lee   +4 more
doaj   +1 more source

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