Results 31 to 40 of about 11,985 (239)
In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.
Omer Abdalrhman Omer +3 more
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Zhang, Xueying +2 more
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Some estimates for the commutators of multilinear maximal function on Morrey-type space
In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
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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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Pointwise multipliers of weighted BMO spaces [PDF]
In a recent paper by S. Bloom (Pointwise multipliers of weighted B M O BMO spaces, Proc. Amer. Math. Soc. 105 (1989), 950-960), there are some inaccuracies. In this note, we give a counterexample to his "theorem" and a corrected form with proof under a suitable condition on weights.
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Pointwise multipliers of weighted BMO spaces [PDF]
Let \(w:{\mathbb{R}}\to {\mathbb{R}}^+\) be a weight function satisfying the doubling condition: \(\int_{J}w(x)dx\leq C\int_{I}w(x)dx\), whenever I and J are intervals such that \(I\subset J\) and \(| J| \leq 2| I|\). The paper under review describes the weighted atomic \(H^ 1\)- space \(H_ w^ 1({\mathbb{R}})\) and weighted BMO-space \(BMO_ w({\mathbb ...
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We study boundedness properties of a class of multiparameter paraproducts on the dual space of the dyadic Hardy space H_d^1(T^N), the dyadic product BMO space BMO_d(T^N). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We
Pott, Sandra, Sehba, Benoit
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On Hardy and BMO Spaces for Grushin Operator [PDF]
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Dziubański, Jacek, Jotsaroop, K.
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Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces
As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
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Spaces H^1 and BMO on ax+b-groups
Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this paper we define an Hardy space H^1 and a BMO space in this context.
Vallarino, Maria
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