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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Published 2014-01-01“…(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. …”
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On the Generalized Hardy Spaces
Published 2010-01-01“…We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.…”
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Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces
Published 2013-01-01“…We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . …”
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Hardy Hibiscus for Florida Landscapes
Published 2005-10-01“… Hardy hibiscus are an overlooked group of perennials with tremendous potential for the landscape. …”
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On some extensions of Hardy’s inequality
Published 1985-01-01“…We present in this paper some new integral inequalities which are related to Hardy's inequality, thus bringing into sharp focus some of the earlier results of the author.…”
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Hardy, Galileo and the Art of Transgression
Published 2014-06-01“…Thomas Hardy’s conflictual relationship with editors and publishers is a well-known fact. …”
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The Boundedness on Mixed Hardy Spaces
Published 2020-01-01“…The boundedness of operators on Hardy spaces is usually given by atomic decomposition. …”
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A generalized formula of Hardy
Published 1994-01-01“…Other recent work has given continued fractions for the type of functions herein. Hardy originally gave such formulae as ours in early work on gap power series which led to his and Littlewood's High Indices Theorem. …”
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Refinements of Hardy-Type Inequalities
Published 2013-01-01“…Using Hu Ke's inequality, which is a sharped Hölder's inequality, we present some new refinements of Hardy-type inequalities proposed by Imoru.…”
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Hardy Hibiscus for Florida Landscapes
Published 2005-10-01“… Hardy hibiscus are an overlooked group of perennials with tremendous potential for the landscape. …”
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Generalizations of Hardy's integral inequalities
Published 1999-01-01Subjects: “…Hardy's integral inequalities…”
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Inclusions of Hardy Orlicz spaces
Published 1986-01-01“…Let ϕ be a continuous positive increasing function defined on [0,∞) such that ϕ(x+y)≤ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). …”
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Jane L. Bownas, Thomas Hardy and Empire: The Representation of Imperial Themes in the Work of Thomas Hardy
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Anisotropic Weak Hardy Spaces and Wavelets
Published 2012-01-01“…We characterize the anisotropic weak Hardy spaces HAp,∞(ℝn) associated with an expansive matrix A by using square functions involving wavelets coefficients.…”
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Marcinkiewicz Integrals on Weighted Weak Hardy Spaces
Published 2014-01-01“…We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n+α<p≤1, where w belongs to the Muckenhoupt weight class. …”
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Herz-Type Hardy Spaces Associated with Operators
Published 2018-01-01“…In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. …”
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