Voir la notice de l'article provenant de la source Cambridge University Press
Cascante, Carme; Ortega, Joaquín M. Carleson Measures on Spaces of Hardy-Sobolev Type. Canadian journal of mathematics, Tome 47 (1995) no. 6, pp. 1177-1200. doi: 10.4153/CJM-1995-060-4
@article{10_4153_CJM_1995_060_4,
author = {Cascante, Carme and Ortega, Joaqu{\'\i}n M.},
title = {Carleson {Measures} on {Spaces} of {Hardy-Sobolev} {Type}},
journal = {Canadian journal of mathematics},
pages = {1177--1200},
year = {1995},
volume = {47},
number = {6},
doi = {10.4153/CJM-1995-060-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1995-060-4/}
}
TY - JOUR AU - Cascante, Carme AU - Ortega, Joaquín M. TI - Carleson Measures on Spaces of Hardy-Sobolev Type JO - Canadian journal of mathematics PY - 1995 SP - 1177 EP - 1200 VL - 47 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1995-060-4/ DO - 10.4153/CJM-1995-060-4 ID - 10_4153_CJM_1995_060_4 ER -
[A-Bo] Amar, E. and Bonami, A., Mesures de Carleson d'ordre a et solutions au bord de l'équation d, Bull. Soc. Math. France 107(1979), 23–48. Google Scholar
[A-C] Ahern, P. and Cohn, W., Exceptional sets for Hardy-Sobolev functions, p >, 1, Indiana Univ. Math. J. (2) 38(1989), 417–451. ,+1,+Indiana+Univ.+Math.+J.+(2)+38(1989),+417–451.>Google Scholar
[A-J] Ahern, P. and Jevtic, M., Inner multipliers of the Besov spaces, 0 < p ≤, 1, Rocky Mountain J. Math. 20(1990), 75S-764. Google Scholar
[Be] Beatrous, F., Estimates for derivatives of holomorphic functions in pseudoconvex domains, Math. Z. 191(1986), 91–116. Google Scholar
[Be-Bu] Beatrous, F. and Burbea, J., Sobolev spaces of holomorphic functions in the ball, Dissertationes Math. 276(1989). Google Scholar
[C] Carleson, L., Interpolation by bounded analytic functions and the corona problem, Ann. of Math. 76(1962), 547–559. Google Scholar
[Ca-O] Cascante, C. and Ortega, J.M., Tangential-exceptional sets for Hardy-Sobolev spaces, Illinois J. Math. 39(1995), 68–85. Google Scholar
[Ci-Do-Su] Cifuentes, P., Dorronsoro, J.R. and Sueiro, J., Boundary tangential convergence on spaces of homogeneous type, Trans. Amer. Math. Soc. 332(1992), 331–350. Google Scholar
[F-S] Fefferman, C.L. and Stein, E.M., IF spaces of several variables, Acta Math. 129(1972), 137–193. Google Scholar
[Ke-S] Kerman, R. and Sawyer, E., Carleson measures and multipliers of Dirichlet-type spaces, Trans. Amer. Math. Soc. (1) 309(1988), 87–98. Google Scholar
[Ka-S] Kahane, J.P. and Salem, R., Ensembles parfaits et séries trigonométriques, (éd. Herman), 1963. Google Scholar
[Lu1] Luecking, D.H., Representation and duality in weighted spaces of analytic functions, Indiana Univ. Math. J. (2) 34(1985), 319–336. Google Scholar
[Lu2] Luecking, D.H., Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives,, Amer. J. Math. 107(1985), 85–111. Google Scholar
[M-K] Maz'ya, V.G. and Khavin, V.P., Non-linear potential theory, Russian Math. Surveys 27(1972), 71–148. Google Scholar
[Me] Meyers, N.M., A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand. 26(1970), 255–292. Google Scholar
[N-R-S] Nagel, A., Rudin, W. and Shapiro, J.H., Tangential boundary behavior of functions in Dirichlet-type spaces, Ann. of Math. 116(1982), 331–360. Google Scholar
[O-F] Ortega, J.M. and Fabrega, J., Mixed-norm spaces and interpolation, Studia. Math. 109(1994), 233–254. Google Scholar
[St] Stegenga, D.A., Multipliers of the Dirichlet space, Illinois J. Math. 24(1980), 113–139. Google Scholar
[Ve] Verbitsky, I., Inner functions, Besov spaces and multipliers, Soviet Math. Dokl. 29(1984), 407–410. Google Scholar
Cité par Sources :