Results 121 to 130 of about 26,267 (271)

Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients

open access: yes, 2017
We prove global Lorentz estimates for variable power of the gradient of weak solution to linear elliptic obstacle problems with small partially BMO coefficients over a bounded nonsmooth domain. Here, we assume that the leading coefficients are measurable
H. Tian, Shenzhou Zheng
semanticscholar   +1 more source

The natural maximal operator on BMO [PDF]

open access: yesProceedings of the American Mathematical Society, 2001
The author introduces the \textit{natural maximal operator} \(M^{\#}f(x)= \sup_{Q\ni x}{1\over|Q|} \int_Qf\), a generalization of the Hardy-Littlewood maximal operator \(M\), and shows that it is a bounded operator from functions of bounded mean oscillation (BMO) into functions of bounded lower oscillation (BLO).
openaire   +1 more source

Weighted estimates of higher order commutators generated by BMO-functions and the fractional integral operator on Morrey spaces

open access: yes, 2016
The purpose of this paper is to investigate the weighted estimates of commutators generated by BMO-functions and the fractional integral operator on Morrey spaces. The main result generalizes the Sawano, Sugano, and Tanaka result to a weighted setting.
Takeshi Iida
semanticscholar   +1 more source

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