Results 171 to 180 of about 4,613,210 (206)
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Archiv der Mathematik, 2000
Let \(A\in B(\ell_2)\) having the representation as a matrix \(A=(a(i,j))_{i,j=1}^\infty\).
N. Popa
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Let \(A\in B(\ell_2)\) having the representation as a matrix \(A=(a(i,j))_{i,j=1}^\infty\).
N. Popa
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Two characterizations of central BMO space via the commutators of Hardy operators
, 2021This article addresses two characterizations of BMO(ℝn){\mathrm{BMO}(\mathbb{R}^{n})}-type space via the commutators of Hardy operators with homogeneous kernels on Lebesgue spaces: (i) characterization of the central BMO(ℝn){\mathrm{BMO}(\mathbb{R}^{n})
Zunwei Fu, Shan-zhen Lu, S. Shi
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A revisit to “On BMO and Carleson measures on Riemannian manifolds”
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023Let $\mathcal {M}$ be an Ahlfors $n$-regular Riemannian manifold such that either the Ricci curvature is non-negative or the Ricci curvature is bounded from below together with a bound on the gradient of the heat kernel. In the paper [IMRN, 2022, no.
Bo Li +4 more
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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 \(z^ + = \max (z,0)\).
Francisco J. Martín-Reyes +1 more
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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 \(z^ + = \max (z,0)\).
Francisco J. Martín-Reyes +1 more
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, 2018
It is proved that there exists a local-in-time solution $$u\in C([0,T),bmo({\mathbb {R}}^d)^d)$$ u ∈ C ( [ 0 , T ) , b m o ( R d ) d ) of the Navier–Stokes equations such that every u ( t ) has an analytic extension on a complex domain whose size only ...
Liao Xu
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It is proved that there exists a local-in-time solution $$u\in C([0,T),bmo({\mathbb {R}}^d)^d)$$ u ∈ C ( [ 0 , T ) , b m o ( R d ) d ) of the Navier–Stokes equations such that every u ( t ) has an analytic extension on a complex domain whose size only ...
Liao Xu
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Interpolation between noncommutative martingale Hardy and BMO spaces: the case $\textbf {0
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2021Let $\mathcal {M}$ be a semifinite von Nemann algebra equipped with an increasing filtration $(\mathcal {M}_n)_{n\geq 1}$ of (semifinite) von Neumann subalgebras of $\mathcal {M}$ .
N. Randrianantoanina
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BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension
Journal d'Analyse Mathematique, 2014In the current paper, we obtain discrepancy estimates in exponential Orlicz and BMO spaces in arbitrary dimension d ≥ 3. In particular, we use dyadic harmonic analysis to prove that the dyadic product BMO and exp(L2/(d−1)) norms of the discrepancy ...
D. Bilyk, Lev Markhasin
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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.
Olli Martio +2 more
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, 2020
It is known that the compactness of the commutators of point-wise multiplication with bilinear homogeneous Calderon–Zygmund operators acting on product of Lebesgue spaces is characterized by the multiplying function being in the space CMO.
R. Torres, Qingying Xue
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It is known that the compactness of the commutators of point-wise multiplication with bilinear homogeneous Calderon–Zygmund operators acting on product of Lebesgue spaces is characterized by the multiplying function being in the space CMO.
R. Torres, Qingying Xue
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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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