@article{ASNSP_1971_3_25_4_575_0, author = {Kor\'anyi, A. and V\'agi, S.}, title = {Singular integrals on homogeneous spaces and some problems of classical analysis}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {575--648}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 25}, number = {4}, year = {1971}, mrnumber = {463513}, zbl = {0291.43014}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1971_3_25_4_575_0/} }
TY - JOUR AU - Korányi, A. AU - Vági, S. TI - Singular integrals on homogeneous spaces and some problems of classical analysis JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1971 SP - 575 EP - 648 VL - 25 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1971_3_25_4_575_0/ LA - en ID - ASNSP_1971_3_25_4_575_0 ER -
%0 Journal Article %A Korányi, A. %A Vági, S. %T Singular integrals on homogeneous spaces and some problems of classical analysis %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1971 %P 575-648 %V 25 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1971_3_25_4_575_0/ %G en %F ASNSP_1971_3_25_4_575_0
Korányi, A.; Vági, S. Singular integrals on homogeneous spaces and some problems of classical analysis. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Serie 3, Volume 25 (1971) no. 4, pp. 575-648. http://archive.numdam.org/item/ASNSP_1971_3_25_4_575_0/
[1] Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci. U. S. A. 53 (1965), 1092-1099. | MR | Zbl
, and ,[2] A general ergodic theorem, Ann. of Math. 58 (1953), 182-191. | MR | Zbl
,[3] On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. | MR | Zbl
and ,[4] Singular integral operators and differential equations, Am. J. Math. 79 (1957), 901-921. | MR | Zbl
and ,[5] A unified theory of Hilbert transforms and ergodic thaorems, Revista Mate matica Cuyana 1 (1955), 41-55. | MR | Zbl
,[6] Condioiones de continuidad de operadores potenciales y de Hilbert, Cursos y-seminarios de matemática, Universidad Nacional de Buenos Aires, 1959. | MR | Zbl
,[7] Pointwise limits of convolution operators, Acta Math 113 (1965), 181-218. | MR | Zbl
and ,[8] Partial differential equations, Jobn Wiley & Sons, New York, 1964. | MR | Zbl
,[9] On the Littlewood-Paley g-function and the Lusin S-function, Trans. Amer. Math. Soc. 134 (1968), 385-403. | MR | Zbl
,[10] Integrals of Cauchy type in several complex variables. I. Integrals of Cauchy type on a hypersphere, Chinese Math. 7 (1965), 138-151. | MR | Zbl
and ,[11] Estimates for translation invariant operators in L-P spaces, Acta Math. 104 (1960), 93-139. | MR | Zbl
,[12] Sur les fonctions conjuguées à plusieurs variables, Nederl. Akad. Wetensch. Proc. Ser. A. 56 (1953), 17-29. | MR | Zbl
,[13] Singular integrals and the principal series, Proc. Nat. Acad. Sci. U. S. A. 63 (1969), 281-284. | MR | Zbl
and ,[14] The Poisson integral for generalized halfplanes and bounded symmetric domains, Ann. of Math. 82 (1965), 332-350. | MR | Zbl
,[15] Harmonic functions on Hermitian hyperbolic space, Trans. Amer. Math. Soc. 135 (1969), 507-516. | MR | Zbl
,[16] Intégrales singuliéres sur certains espaces homogènes, C. R. Acad. Sci. Paris 268 (1969), 765-768. | MR | Zbl
and ,[17] Remarks on the Cauchy integral and the conjugate function in generalized half planes, J. of Math. and Mechanics 19 (1970), 1069-1081. | MR | Zbl
, and ,[18] Classical expansions and their relation to oonjugate harmonic functions, Trans. Amer. Math. Soc. 118 (1965), 17-92. | MR | Zbl
and ,[19] Spherical harmonics, Lecture Notes in Mathematics, No. 17. Springer, 1966. | MR
,[20] On singular integrals, Bull. Amer. Math. Soc. 75 (1969), 843-847. | MR | Zbl
,[21] On multipliers and singular integrals in Lp spaces of vector valued functions. Thesis, University of Chicago, 1965.
,[22] Análisis armónico en varias variables. Teoría de los espacios HP. Cursos y seminarios de matemática, Universidad de Buenos Aires, 1960. | MR | Zbl
,[23] An isometry of HP-spaces, Proc. Amer. Math. Soc. 19 (1968), 1083-1086. | MR | Zbl
,[24] The Riesz transform, Univ. of Wisconsin Math. Res. Center, Techical summary reports # 185, and # 186, (1961).
,