@article{AFST_1997_6_6_3_429_0,
author = {Brian E. Blank and Dashan Fan},
title = {Hardy spaces on compact {Lie} groups},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {429--479},
publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
address = {Toulouse},
volume = {Ser. 6, 6},
number = {3},
year = {1997},
zbl = {0899.43004},
mrnumber = {1610895},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_1997_6_6_3_429_0/}
}
TY - JOUR AU - Brian E. Blank AU - Dashan Fan TI - Hardy spaces on compact Lie groups JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1997 SP - 429 EP - 479 VL - 6 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_1997_6_6_3_429_0/ LA - en ID - AFST_1997_6_6_3_429_0 ER -
%0 Journal Article %A Brian E. Blank %A Dashan Fan %T Hardy spaces on compact Lie groups %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1997 %P 429-479 %V 6 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_1997_6_6_3_429_0/ %G en %F AFST_1997_6_6_3_429_0
Brian E. Blank; Dashan Fan. Hardy spaces on compact Lie groups. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 6 (1997) no. 3, pp. 429-479. https://afst.centre-mersenne.org/item/AFST_1997_6_6_3_429_0/
[1] ) .- Nontangential maximal functions over compact Riemannian manifolds, Proc. Amer. Math. Soc. 103 (1988), pp. 999-1002. | MR | Zbl
[2] ), ), ) and ) .- Boundary behavior of nonnegative solutions of elliptic operators in divergence form, Indiana Univ. Math. J. 30 (1981), pp. 621-640. | MR | Zbl
[3] ) . - Two remarks on H1 and BMO, Advances in Math 22 (1976), pp. 269-275. | MR | Zbl
[4] ) .- Sommes de Riesz et multiplicateurs sur un groupe de Lie compact, Ann. Inst. Fourier 24 (1974), pp. 149-172. | Numdam | MR | Zbl
[5] ) . - Bochner-Riesz means of Hp functions (0 < p < 1), in Lecture Notes in Mathematics 1234 (1987), Springer-Verlag, New York, pp. 86-107. | Zbl
[6] ) .- A real variable characterization of Hp, Studia Math. 51 (1974), pp. 269-274. | MR | Zbl
[7] ) and ) .- Extensions of Hardy space and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), pp. 569-645. | MR | Zbl
[8] ) .- Hardy spaces on spheres, Ph. D. Dissertation, Washington University in St. Louis, 1982.
[9] ), ) and ) .- Pointwise estimates for some kernels on compact Lie groups, Rend. Circ. Mat. Palermo XXXI, n° 2 (1982), pp. 145-158. | MR | Zbl
[10] ) Master Thesis, Anhui University, China. (1982).
[11] ) and ) .- Hp spaces of several variables, Acta Math. 129 (1972), pp. 137-193. | MR | Zbl
[12] ) and ) .- Hardy Spaces on Homogeneous Groups, Princeton University Press, Princeton, New Jersey. 1982. | MR | Zbl
[13] ) .- A characterization of Hp (Rn) in terms of atoms, Studia Math. 62 (1978), pp. 93-101. | MR | Zbl
[14] ) .- Topics in Harmonic Analysis, Ann. of Math. Studies 63, Princeton Univ. Press, Princeton, New Jersey, 1970. | MR | Zbl
[15] ) . - Boundary values of solutions of elliptic equations satisfying Hp conditions, Trans. Amer. Math. Soc. 176 (1973), pp. 445-462. | MR | Zbl
[16] ) .- Some Fourier multiplier criteria and the spherical Bochner-Riesz, Rev. Roum. Math. Pures et Appl. XX, n° 10 (1975), pp. 1173-1185. | MR | Zbl
[17] ) .- Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations, Inventiones Math. 61 (1980), pp. 67-79. | MR | Zbl
[18] ) .- A maximal function characterization of Hp on the space of homogeneous type, Trans. Amer. Math. Soc. 262 (1980), pp. 579-592. | MR | Zbl