On a generalized Carleson inequality
D. Deng (1984)
Studia Mathematica
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D. Deng (1984)
Studia Mathematica
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Nobuhiko Fujii (1991)
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Robert Latter (1978)
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Alejandro García del Amo (1993)
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Akihito Uchiyama (1985)
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Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫ f of monotone functions.
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.
David Adams, Michael Frazier (1988)
Studia Mathematica
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Javier Duoandikoetxea, Adela Moyua (1992)
Studia Mathematica
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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.
Zongguang Liu, Guozhen Lu, Shanzhen Lu (2003)
Publicacions Matemàtiques
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In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
Eugenio Hernández, Guido Weiss, Dachun Yang (1996)
Collectanea Mathematica
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In this paper, the authors establish the phi-transform and wavelet characterizations for some Herz and Herz-type Hardy spaces by means of a local version of the discrete tent spaces at the origin.