Estimate for gradient, bmo and Lindelöf theorem
M. Mateljević (1995)
Publications de l'Institut Mathématique
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M. Mateljević (1995)
Publications de l'Institut Mathématique
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John L. Lewis, Andrew Vogel (1991)
Revista Matemática Iberoamericana
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Frank Beatrous (1991)
Studia Mathematica
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Jevtić, Miroljub (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Joan Mateu, Yuri Netrusov, Joan Orobitg, Joan Verdera (1996)
Annales de l'institut Fourier
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We consider the problem of qualitative approximation by solutions of a constant coefficients homogeneous elliptic equation in the Lipschitz and BMO norms. Our method of proof is well-known: we find a sufficient condition for the approximation reducing matters to a weak spectral synthesis problem in an appropriate Lizorkin-Triebel space. A couple of examples, evolving from one due to Hedberg, show that our conditions are sharp.
Miroslav Pavlović (1999)
Czechoslovak Mathematical Journal
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Soulaymane Korry (2001)
Collectanea Mathematica
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Paweł Sobolewski (2008)
Annales UMCS, Mathematica
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We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.
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.