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BMO Spaces on Weighted Homogeneous Trees
, 2020We consider an infinite homogeneous tree $${\mathcal {V}}$$ V endowed with the usual metric d defined on graphs and a weighted measure $$\mu $$ μ . The metric measure space $$({\mathcal {V}},d,\mu )$$ ( V , d , μ ) is nondoubling and of exponential ...
Laura Arditti, A. Tabacco, M. Vallarino
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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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Mathematische Annalen, 2017
We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi +4 more
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We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi +4 more
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John–Nirenberg Inequalities and Weight Invariant BMO Spaces
Journal of Geometric Analysis, 2017This work explores new deep connections between John–Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of BMO-type spaces.
Jarod Hart, R. Torres
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A note on generalized Fujii-Wilson conditions and BMO spaces
Israel Journal of Mathematics, 2019In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A ∞ , A ∞ weak and C p , in terms of BMO type spaces suited to them.
S. Ombrosi +3 more
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Nonlinear Wavelet Approximation in BMO
Constructive Approximation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivanov, Kamen G., Petrushev, Pencho
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Applicability of ISNT Rule Using BMO-MRW to Differentiate Between Healthy and Glaucomatous Eyes
Journal of glaucoma, 2018Purpose: We evaluated the applicability of the ISNT rule using Bruch’s membrane opening minimum rim width (BMO-MRW) in healthy eyes and eyes with normal tension glaucoma (NTG).
D. Park, Eun Jung Lee, J. Han, C. Kee
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A characterization of BMO in terms of endpoint bounds for commutators of singular integrals
Israel Journal of Mathematics, 2018We provide a characterization of BMO in terms of endpoint boundedness of commutators of singular integrals. In particular, in one dimension, we show that ∥b∥BMO ≃ B, where B is the best constant in the endpoint L log L modular estimate for the commutator
Natalia Accomazzo
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Variational inequalities for the commutators of rough operators with BMO functions
Science China Mathematics, 2017Starting with the relatively simple observation that the variational estimates of the commutators of the standard Calderón-Zygmund operators with the bounded mean oscillation (BMO) functions can be obtained from their weighted variational estimates, we ...
Yanping Chen +3 more
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Journal d'Analyse Mathématique, 2001
Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Ryazanov, V., Srebro, U., Yakubov, E.
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Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Ryazanov, V., Srebro, U., Yakubov, E.
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