Products of Functions in Hardy and Lipschitz or BMO Spaces [PDF]
We define as a distribution the product of a function (or distribution) h in some Hardy space Hp with a function b in the dual space of Hp. Moreover, we prove that the product bxh may be written as the sum of an integrable function with a distribution that belongs to some Hardy-Orlicz space, or to the same Hardy space Hp, depending on the values of p.
Aline Bonami, Justin Feuto
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Upper Bound for Multi-parameter Iterated Commutators [PDF]
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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Estimates for the commutators of operator Vα∇(−Δ+V)−β $V^{\alpha }\nabla (-\Delta +V)^{-\beta }$
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]
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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In this paper BMO-Lorentz martingale spaces are investigated. We give the characterization of BMO-Lorentz martingale spaces. Moreover, we discuss the relationship between the Carleson measure and BMO-Lorentz martingales. As a consequence, we find a new way to characterize the geometrical properties of a Banach space.
Xuming Yi+2 more
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Maximal operators on spaces BMO and BLO [PDF]
We consider maximal kernel-operators on abstract measure spaces $(X,μ)$ equipped with a ball-basis. We prove that under certain asymptotic condition on the kernels those operators maps boundedly BMO(X) into BLO(X), generalizing the well-known results of Bennett-DeVore-Sharpley and Bennett for the Hardy-Littlewood maximal function.
Grigori A. Karagulyan
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End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator
Let L=−Δ+μ be the generalized Schrödinger operator on ℝd,d≥3, where μ≠0 is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions.
Yanping Chen, Wenyu Tao
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Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces
Let L be the infinitesimal generator of an analytic semigroup on L2(Rn) with Gaussian kernel bounds, and let L-α/2 be the fractional integrals of L for ...
Zhiheng Wang, Zengyan Si
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Transition-Metal-Doped CeO2 for the Reverse Water-Gas Shift Reaction: An Experimental and Theoretical Study on CO2 Adsorption and Surface Vacancy Effects. [PDF]
Transition metal (Fe, Co, Ni, Cu) doped CeO2 catalysts were investigated for RWGS using laboratory experiments for performance evaluation and DFT to predict energy profiles. Fe and Cu doped CeO2 showed high CO selectivity, while Co and Ni favored methanation.
Yu Y+4 more
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On Hardy and BMO Spaces for Grushin Operator [PDF]
We study Hardy and BMO spaces associated with the Grushin operator. We first prove atomic and maximal functions characterizations of the Hardy space. Further we establish a version of Fefferman–Stein decomposition of BMO functions associated with the Grushin operator and then obtain a Riesz transforms characterization of the Hardy space.
Dziubański, Jacek, Jotsaroop, K.
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