Characterization of in terms of generalized Littlewood-Paley g-functions
Akihito Uchiyama (1985)
Studia Mathematica
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Akihito Uchiyama (1985)
Studia Mathematica
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Alzer, Horst (1993)
Portugaliae mathematica
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Dashan Fan, Shanzhen Lu, Dachun Yang (1998)
Publicacions Matemàtiques
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In this paper, the authors introduce a kind of local Hardy spaces in R associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
Chang-Pao Chen, Dah-Chin Luor (2000)
Studia Mathematica
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Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...
W. K. A. Loh (1996)
Acta Arithmetica
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M. Mateljević, M. Pavlović (1984)
Studia Mathematica
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Der-Chen Chang, Song-Ying Li (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
P. Ney, S. Wainger (1972)
Studia Mathematica
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