On the Hölder continuity of solutions of second order elliptic equations in two variables
L. C. Piccinini, S. Spagnolo (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “The solution of the Kato problem in two dimensions.”
On the Hölder continuity of solutions of second order elliptic equations in two variables
Remarks on Kato's square-root problem.
Jean-Lin Journé (1991)
Publicacions Matemàtiques
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Ferromagnetic integrals, correlations and maximum principles
Johannes Sjöstrand (1994)
Annales de l'institut Fourier
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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.
Fatou and Korányi-Vági type theorems on the minimal ball.
Nguyên Viêt Anh (2002)
Publicacions Matemàtiques
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In this paper we develop the H(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.
Balls defined by nonsmooth vector fields and the Poincaré inequality
Annamaria Montanari, Daniele Morbidelli (2004)
Annales de l’institut Fourier
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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
Asymptotic expansions of finite theta series
H. Fiedler, W. Jurkat, O. Körner (1977)
Acta Arithmetica
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On the method of exponent pairs
G. Kolesnik (1985)
Acta Arithmetica
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