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Displaying similar documents to “Equivalence of norms in one-sided Hp spaces.”

Hardy space estimates for multilinear operators (II).

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.

Weighted inequalities for square and maximal functions in the plane

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.

The φ-transform and wavelet characterizations of Herz-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.