The Fatou theorem for NA groups - a negative result

• Autorzy: Jarosław Sołowiej
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 1
• Strony: 131-145

Daty

wydano

1994

otrzymano

1993-12-08

Twórcy

autor

Jarosław Sołowiej

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

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• [DH2] E. Damek and A. Hulanicki, Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group, Studia Math. 101 (1991), 34-68.
• [DH3] E. Damek and A. Hulanicki, Boundaries and the Fatou theorem for subelliptic second order operators on solvable Lie groups, ibid., to appear.
• [FS] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Princeton Univ. Press, 1982.
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• [H2] A. Hulanicki, A class of convolution semi-groups of measures on a Lie group, in: Lecture Notes in Math. 828, Springer, 1980, 82-101.
• [Sch] I. J. Schoenberg, On the Besicovitch-Perron solution of the Kakeya problem, in: Studies in Mathematical Analysis and Related Topics, G. Szegö et al. (eds.), Stanford Univ. Press, 1962, 359-363.
• [SW] E. M. Stein and N. J. Weiss, On the convergence of Poisson integrals, Trans. Amer. Math. Soc. 140 (1969), 35-54.