Singular integrals on generalized Lipschitz and Hardy spaces

Roberto Macías; Carlos Segovia

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The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as H-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of H-spaces is what we call the real atomic characterization of these spaces.

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Robert Latter (1978)

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Hardy space estimates for multilinear operators (II).

Loukas Grafakos (1992)

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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.

On the extension of Lipschitz-Hölder maps on $L^{P}$ spaces

Lynn Williams, J. Wells, T. Hayden (1971)

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