共查询到20条相似文献,搜索用时 23 毫秒
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Agnieszka Hejna 《Mathematische Nachrichten》2020,293(11):2112-2139
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The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish
a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy
operators (with symbols in BMO(ℝ
n
)) on Morrey spaces. 相似文献
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Summary We prove that the maximal conjugate and Hilbert operators are not bounded from the real Hardy space H1 to L1, where the underlying spaces may be over T or R. We also draw corollaries for the corresponding spaces over T2 and R2. 相似文献
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Ferenc Weisz 《数学学报(英文版)》2010,26(9):1627-1640
A general summability method, the so-called θ-summability is considered for multi-dimensional Fourier transforms. Under some conditions on θ, it is proved that the maximal operator of the θ-means defined in a cone is bounded from the amalgam Hardy space W(hp, e∞) to W(Lp,e∞). This implies the almost everywhere convergence of the θ-means in a cone for all f ∈ W(L1, e∞) velong to L1. 相似文献
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In this paper, we give the boundedness of the parametrized Littlewood–Paley function on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that is of weak type (1, 1) and of type (p, p) for 1 < p < 2, respectively. This results are substantial improvement and extension of some known results. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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证明了由BMO函数与α阶内蕴面积函数S_α和内蕴g_(λ,α)*函数生成的交换子都是由加权弱Hardy空间WH_(b,ω)~1到加权弱L1空间WL_ω~1上的有界算子. 相似文献
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Nguyen Anh DAO 《Frontiers of Mathematics in China》2022,17(5):853
We provide a constructive proof of (the classical Hardy space) factorization in terms of fractional commutators in Lorentz spaces. As a direct application, we obtain a characterization of functions in BMO space. Furthermore, we also obtain a Lorentz compactness characterization of fractional commutators. 相似文献
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In this paper, the Quaternion-valued Hardy spaces and conjugate Hardyspaces on
are characterized. In analogy with the decomposition of square-integrable function space on the real line
into the direct sum of Hardy space and conjugate Hardy space, the square-integrable Quaternion -valued function space on
is decomposed into the orthogonal sum of the Quaternion Hardy and conjugate Hardy spaces. 相似文献
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In this paper,we prove that the general product Hardy operators are bounded from the product Hardy space H1/n ( Rm1 ×…× Rmn ) to L 1 ( RΣni=1 mi). 相似文献
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Milutin Dostani? 《Journal of Functional Analysis》2008,254(11):2800-2815
The Hilbert matrix induces a bounded operator on most Hardy and Bergman spaces, as was shown by Diamantopoulos and Siskakis. We generalize this for any Hankel operator on Hardy spaces by using a result of Hollenbeck and Verbitsky on the Riesz projection and also compute the exact value of the norm of the Hilbert matrix. Using a new technique, we determine the norm of the Hilbert matrix on a wide range of Bergman spaces. 相似文献
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LOU Zengjian & Alan MclntoshInstitute of Mathematics Shantou University Shantou China 《中国科学A辑(英文版)》2004,47(2)
We introduce a divergence-free Hardy space Hz1,div(RN+,RN) and prove its divergence-free atomic decomposition. We also characterize its dual space and establish a "div-curl" type theorem on R+3 with an application to coercivity properties of some polyconvex quadratic forms. 相似文献
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Pu Zhang Jiukun Hua 《分析论及其应用》2005,21(3):226-234
Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1(R^n) into the weak L^1 (R^n) space and from certain atomic Hardy space Hb^1 (R^n) into the Lebesgue space L^1 (R^n), when the multiplier m satisfies the conditions of Hoermander type. 相似文献
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Frédéric Bernicot 《Journal of Functional Analysis》2008,255(7):1761-1796
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L1 and some results about interpolation between these spaces and the Lebesgue spaces. We also obtain some results on weighted norm inequalities. Finally we present partial results in order to understand a characterization of the duals of Hardy spaces. 相似文献
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G. Ó lafsson B. Ø rsted 《Transactions of the American Mathematical Society》1999,351(9):3771-3792
Let be a irreducible symmetric space of Cayley type. Then is diffeomorphic to an open and dense -orbit in the Shilov boundary of . This compactification of is causal and can be used to give answers to questions in harmonic analysis on . In particular we relate the Hardy space of to the classical Hardy space on the bounded symmetric domain . This gives a new formula for the Cauchy-Szegö kernel for .
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In this paper we are interested in conditions on the coefficients of a two-dimensional Walsh multiplier operator that imply the operator is bounded on certain of the Hardy type spaces Hp, 0<p<∞. We consider the classical coefficient conditions, the Marcinkiewicz-Hörmander-Mihlin conditions. They are known to be sufficient for the trigonometric system in the one and two-dimensional cases for the spaces Lp, 1<p<∞. This can be found in the original papers of Marcinkiewicz [J. Marcinkiewicz, Sur les multiplicateurs des series de Fourier, Studia Math. 8 (1939) 78-91], Hörmander [L. Hörmander, Estimates for translation invariant operators in Lp spaces, Acta Math. 104 (1960) 93-140], and Mihlin [S.G. Mihlin, On the multipliers of Fourier integrals, Dokl. Akad. Nauk SSSR 109 (1956) 701-703; S.G. Mihlin, Multidimensional Singular Integrals and Integral Equations, Pergamon Press, 1965]. In this paper we extend these results to the two-dimensional dyadic Hardy spaces. 相似文献