Results 191 to 200 of about 7,726 (220)
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Transactions of the American Mathematical Society, 1985
Summary: We consider subspaces of \(BMO(R^ n)\) generated by one singular integral transform. We show that the averages along \(x_ j\)-lines of the jth Riesz transform of \(g\in BMO\cap L^ 2(R^ n)\) or \(g\in L^{\infty}(R^ n)\) satisfy a certain strong regularity property. One consequence of this result is that such functions satisfy a uniform doubling
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Summary: We consider subspaces of \(BMO(R^ n)\) generated by one singular integral transform. We show that the averages along \(x_ j\)-lines of the jth Riesz transform of \(g\in BMO\cap L^ 2(R^ n)\) or \(g\in L^{\infty}(R^ n)\) satisfy a certain strong regularity property. One consequence of this result is that such functions satisfy a uniform doubling
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On a BMO-Property for Subharmonic Functions
Journal of Fourier Analysis and Applications, 2002A compact set \(K\subset \mathbb{R}^2\) is called (Ahlfors) \(d\)-regular, if there exists \(a>0\) such that for any \(x\in K\) and ...
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2019???????????????? ?????????? ???????????????????????? ??-???????????? ???? ?????????????? (0, 1]. ???????????????????? ???????????? ?????????? ?????????????????? ?????????????????? ?????????????????????????????? ???????????????? ???????????????????????? ???????????????????????? ??-??????????????, ???????????????????????? ?? ????????????????????????
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Transactions of the American Mathematical Society, 1985
This paper concerns certain generalizations of BMO, the space of functions of bounded mean oscillation. Let \(\rho\) be a positive nondecreasing function on (0,\(\infty)\) with \(\rho (0+)=0\). A locally integrable function on \({\mathbb{R}}^ m\) is said to belong to BMO(\(\rho)\) if its mean oscillation over any cube Q is O(\(\rho\) (\(\ell (Q ...
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This paper concerns certain generalizations of BMO, the space of functions of bounded mean oscillation. Let \(\rho\) be a positive nondecreasing function on (0,\(\infty)\) with \(\rho (0+)=0\). A locally integrable function on \({\mathbb{R}}^ m\) is said to belong to BMO(\(\rho)\) if its mean oscillation over any cube Q is O(\(\rho\) (\(\ell (Q ...
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Two characterizations of central BMO space via the commutators of Hardy operators
Forum Mathematicum, 2021Shaoguang Shi, Zunwei Fu, Shanzhen Lu
exaly
Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
Journal of Functional Analysis, 2007Lihe Wang, Shulin Zhou, Sun-Sig Byun
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