Remarks on Kato's square-root problem.
Jean-Lin Journé (1991)
Publicacions Matemàtiques
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Jean-Lin Journé (1991)
Publicacions Matemàtiques
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Detlef Müller, Elias M. Stein (1999)
Revista Matemática Iberoamericana
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Let £ denote the sub-Laplacian on the Heisenberg group H. We prove that e / (1 - £) extends to a bounded operator on L(H), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.
Steve Hofmann, Alan McIntosh (2002)
Publicacions Matemàtiques
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We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), where A(x) is a 2 x 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2: L1 2(R2) → L2(R2). [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial...
Cao, Jia-Ding, Gonska, Heinz H. (1989)
Portugaliae mathematica
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L. C. Piccinini, S. Spagnolo (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
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.
Eugène Gutkin (1986)
Annales de l'I.H.P. Analyse non linéaire
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