Displaying similar documents to “Hardy spaces and the Dirichlet problem on Lipschitz domains.”

Oblique derivative problems for the laplacian in Lipschitz domains.

Jill Pipher (1987)

Revista Matemática Iberoamericana

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The aim of this paper is to extend the results of Calderón [1] and Kenig-Pipher [12] on solutions to the oblique derivative problem to the case where the data is assumed to be BMO or Hölder continuous.

Area integral estimates for higher order elliptic equations and systems

Björn E. J. Dahlberg, Carlos E. Kenig, Jill Pipher, G. C. Verchota (1997)

Annales de l'institut Fourier

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Let L be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in L p norm between the maximal function and the square function of solutions to L in Lipschitz domains. Several applications of this result are discussed.

An atomic decomposition of the predual of BMO(ρ).

Beatriz E. Viviani (1987)

Revista Matemática Iberoamericana

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We study the Orlicz type spaces H, defined as a generalization of the Hardy spaces H for p ≤ 1. We obtain an atomic decomposition of H, which is used to provide another proof of the known fact that BMO(ρ) is the dual space of H (see S. Janson, 1980, [J]).