Results 31 to 40 of about 405,780 (215)
Taylor's Theorem for Functionals on BMO with Application to BMO Local Minimizers [PDF]
, 2020 In this note two results are established for energy functionals that are given by the integral of $ W(\mathbf x,\nabla \mathbf u(\mathbf x))$ over $\Omega \subset\mathbb{R}^n$ with $\nabla \mathbf u \in BMO(\Omega;{\mathbb R}^{N\times n})$, the space of ...
Spector, Daniel E., Spector, Scott J.
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Large BMO spaces vs interpolation [PDF]
Analysis & PDE, 2015 In this paper we introduce a class of BMO spaces which interpolate with $L_p$ and are sufficiently large to serve as endpoints for new singular integral operators. More precisely, let $( , , )$ be a $ $-finite measure space. Consider two filtrations of $ $ by successive refinement of two atomic $ $-algebras $ _\mathrm{a}, _\mathrm{b}$ having
Conde-Alonso, Jose +2 more
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AIMS Mathematics, 2023 In this paper, we first show that the $ p $-adic version of maximal function $ \mathcal{M}_{L\log L}^{p} $ is equivalent to the maximal function $ \mathcal{M}^{p}(\mathcal{M}^{p}) $ and that the class of functions for which the maximal commutators and ...
Qianjun He, Xiang Li
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Hardy and BMO spaces on Weyl chambers
Forum Mathematicum, 2023 Abstract Let W be a finite reflection group associated with a root system R in ℝ d {\mathbb{R}^{d}}
Paweł Plewa, Krzysztof Stempak
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Upper Bound for Multi-parameter Iterated Commutators [PDF]
, 2015 We show that the product BMO space can be characterized by iterated commutators of a large class of Calder\'on-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol ...
Dalenc, Laurent, Ou, Yumeng
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Duality and o − O-structure in non reflexive Banach spaces
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 Let E be a Banach space with a supremum type norm induced by a collection of functionals ℒ ⊂ X* where X is a reflexive Banach space.
Luigi D'Onofrio +2 more
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Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of Mathematics, 2022 This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
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Universal Teichmüller space and BMO
Advances in Mathematics, 2013 AbstractWe first give some new characterizations on BMOA–Teichmüller space and various characterizations on VMOA–Teichmüller space as well. In particular, we prove that a quasisymmetric conformal welding h corresponds to an asymptotically smooth curve in the sense of Pommerenke (1978) [32] precisely when h is absolutely continuous with logh′∈VMO.
Huaying Wei, Yuliang Shen
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Estimates for the commutators of operator Vα∇(−Δ+V)−β $V^{\alpha }\nabla (-\Delta +V)^{-\beta }$
Journal of Inequalities and Applications, 2019 Let a function b belong to the space BMOθ(ρ) $\operatorname{BMO}_{\theta }(\rho )$, which is larger than the space BMO(Rn) $\operatorname{BMO}(\mathbb{R}^{n})$, and let a nonnegative potential V belong to the reverse Hölder class RHs $\mathit{RH}_{s ...
Yue Hu, Yueshan Wang
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Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations [PDF]
, 2015 We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders.
Saari, Olli
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