Results 101 to 110 of about 198 (133)
A characterization of $${{\mathrm{BMO}}}$$ BMO self-maps of a metric measure space [PDF]
Collectanea Mathematica, 2014 Juha Kinnunen +3 more
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BMO and Injectivity of Space Quasiregular Mappings
Mathematische Nachrichten, 1999AbstractIt is shown that if the dilatation tensor G f of a space quasi regular mapping f belongs to the space VMO (vanishing mean oscillation), then f is a local homeomorphism. The same is true If the BMO‐norm of G f is small or if Gf is only close to the VMO space in the BMO‐norm.
Matti Vuorinen, Vladimir Ryazanov
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Journal of the London Mathematical Society, 1994
In this paper we introduce the one-sided sharp functions defined by \[ f_ +^ \# (x) = \sup_{h > 0} {1 \over h} \int^{x + h}_ x \left( f(y) - {1 \over h} \int^{x + 2h}_{x + h} f \right)^ + dy \] and \[ f_ -^ \# (x) = \sup_{h > 0} {1 \over h} \int^ x_{x - h} \left( f(y) - {1 \over h} \int^{x - h}_{x-2h} f \right)^ + dy \] where \(z^ + = \max (z,0)\).
Martín-Reyes, F. J., de la Torre, A.
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In this paper we introduce the one-sided sharp functions defined by \[ f_ +^ \# (x) = \sup_{h > 0} {1 \over h} \int^{x + h}_ x \left( f(y) - {1 \over h} \int^{x + 2h}_{x + h} f \right)^ + dy \] and \[ f_ -^ \# (x) = \sup_{h > 0} {1 \over h} \int^ x_{x - h} \left( f(y) - {1 \over h} \int^{x - h}_{x-2h} f \right)^ + dy \] where \(z^ + = \max (z,0)\).
Martín-Reyes, F. J., de la Torre, A.
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On an Equivalent Norm on the Space BMO
Journal of Mathematical Sciences, 2018We extend the inequality proved by S. V. Bochkarev to a larger class of convolution operators assuming that the Fourier transforms of the kernels of these operators satisfy certain conditions in the spirit of the Hormander–Mikhlin multiplier theorem. Therefore, we give a new characterization of BMO.
I. Vasilyev, A. Tselishchev
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Local to global results for spaces of $${{\mathrm{BMO}}}$$ BMO type
Mathematische Zeitschrift, 2015We study a class of spaces, $$JN_p$$ , related to $${{\mathrm{BMO}}}$$
Niko Marola, Olli Saari
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BMO and the Banach Space Approximation Problem
American Journal of Mathematics, 1985Let \(L^{\infty}=L^{\infty}(\partial D)\), \(H^{\infty}=H^{\infty}(D)\), \(BMO(\partial D)=the\) space of functions f on \(\partial D\) with \(\int^{2\pi}_{0}f(t)dt=0\) and \(\| f\|_{BMO}=\sup \{(\frac{1}{| I|}\int_{I}| f-f_ I|^ 2dt)^{1/2}:\) I an \(arc\subset \partial D\}
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BMO and Hankel Operators on Fock-Type Spaces
The Journal of Geometric Analysis, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xiaofeng, Cao, Guangfu, Zhu, Kehe
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Archiv der Mathematik, 2000
Let \(A\in B(\ell_2)\) having the representation as a matrix \(A=(a(i,j))_{i,j=1}^\infty\).
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Let \(A\in B(\ell_2)\) having the representation as a matrix \(A=(a(i,j))_{i,j=1}^\infty\).
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BMO spaces on domains of \(R^n\)
1996Let \(\Omega\) be an open subset of \(\mathbb{R}^n\) and \(\text{MBO}(\Omega)\) denote the space of functions in \(L^1_{\text{loc}}(\overline\Omega)\) with bounded mean oscillation. The authors' main result is that if \(\Omega\) is sufficiently regular, then there is a bounded linear extension operator from \(\text{BMO}_1(\Omega)\) into \(\text{BMO}_1(\
TRANSIRICO, Maria +2 more
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Two characterizations of central BMO space via the commutators of Hardy operators
Forum Mathematicum, 2021Shaoguang Shi, Zunwei Fu, Shanzhen Lu
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