Singular integrals on homogeneous spaces and some problems of classical analysis
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1971)
- Volume: 25, Issue: 4, page 575-648
- ISSN: 0391-173X
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topKorányi, A., and Vági, S.. "Singular integrals on homogeneous spaces and some problems of classical analysis." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.4 (1971): 575-648. <http://eudml.org/doc/83576>.
@article{Korányi1971,
author = {Korányi, A., Vági, S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {575-648},
publisher = {Scuola normale superiore},
title = {Singular integrals on homogeneous spaces and some problems of classical analysis},
url = {http://eudml.org/doc/83576},
volume = {25},
year = {1971},
}
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 - Classe di Scienze
PY - 1971
PB - Scuola normale superiore
VL - 25
IS - 4
SP - 575
EP - 648
LA - eng
UR - http://eudml.org/doc/83576
ER -
References
top- [1] A. Benedek, A.P. Calderón and R. Panzone, Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci. U. S. A.53 (1965), 1092-1099. Zbl0151.16901MR177312
- [2] A.P. Calderón, A general ergodic theorem, Ann. of Math.58 (1953), 182-191. Zbl0052.11903MR55415
- [3] A.P. Calderón and A. Zygmund, On the existence of certain singular integrals, Acta Math.88 (1952), 85-139. Zbl0047.10201MR52553
- [4] A.P. Calderón and A. Zygmund, Singular integral operators and differential equations, Am. J. Math.79 (1957), 901-921. Zbl0081.33502MR100768
- [5] M. Cotlar, A unified theory of Hilbert transforms and ergodic thaorems, Revista Mate matica Cuyana1 (1955), 41-55. Zbl0071.33301MR84632
- [6] M. Cotlar, Condioiones de continuidad de operadores potenciales y de Hilbert, Cursos y-seminarios de matemática, Universidad Nacional de Buenos Aires, 1959. Zbl0094.10101MR116190
- [7] R.E. Edwards and E. Hewitt, Pointwise limits of convolution operators, Acta Math113 (1965), 181-218. Zbl0161.11104MR177259
- [8] P.R. Garabedian, Partial differential equations, Jobn Wiley & Sons, New York, 1964. Zbl0124.30501MR162045
- [9] G. Gasper, On the Littlewood-Paley g-function and the Lusin S-function, Trans. Amer. Math. Soc.134 (1968), 385-403. Zbl0169.13402MR235138
- [10] Gong Sheng and Sun Ji- Guang, Integrals of Cauchy type in several complex variables. I. Integrals of Cauchy type on a hypersphere, Chinese Math.7 (1965), 138-151. Zbl0156.30401MR193272
- [11] L. Hörmander, Estimates for translation invariant operators in L-P spaces, Acta Math.104 (1960), 93-139. Zbl0093.11402MR121655
- [12] J. Horváth, Sur les fonctions conjuguées à plusieurs variables, Nederl. Akad. Wetensch. Proc. Ser. A.56 (1953), 17-29. Zbl0050.10501MR53276
- [13] A.W. Knapp and E.M. Stein, Singular integrals and the principal series, Proc. Nat. Acad. Sci. U. S. A.63 (1969), 281-284. Zbl0181.12501MR263989
- [14] A. Korányi, The Poisson integral for generalized halfplanes and bounded symmetric domains, Ann. of Math.82 (1965), 332-350. Zbl0138.06601MR200478
- [15] A. Korányi, Harmonic functions on Hermitian hyperbolic space, Trans. Amer. Math. Soc.135 (1969), 507-516. Zbl0174.38801MR277747
- [16] A. Korányi and S. Vági, Intégrales singuliéres sur certains espaces homogènes, C. R. Acad. Sci. Paris268 (1969), 765-768. Zbl0175.14901MR286944
- [17] A. Koráknyi, S. Vági and G.V. Welland, Remarks on the Cauchy integral and the conjugate function in generalized half planes, J. of Math. and Mechanics19 (1970), 1069-1081. Zbl0197.36002MR265626
- [18] B. Muckfnhoupt and E.M. Stein, Classical expansions and their relation to oonjugate harmonic functions, Trans. Amer. Math. Soc.118 (1965), 17-92. Zbl0139.29002MR199636
- [19] C. Müller, Spherical harmonics, Lecture Notes in Mathematics, No. 17. Springer, 1966. Zbl0138.05101MR199449
- [20] N.M. Rivière, On singular integrals, Bull. Amer. Math. Soc.75 (1969), 843-847. Zbl0183.11801MR243389
- [21] S. Vági, On multipliers and singular integrals in Lp spaces of vector valued functions. Thesis, University of Chicago, 1965.
- [22] G. Weiss, Análisis armónico en varias variables. Teoría de los espacios HP. Cursos y seminarios de matemática, Universidad de Buenos Aires, 1960. Zbl0100.10501MR139902
- [23] N.J. Weiss, An isometry of HP-spaces, Proc. Amer. Math. Soc.19 (1968), 1083-1086. Zbl0192.43903MR230931
- [24] E.H. Zarantello, The Riesz transform, Univ. of Wisconsin Math. Res. Center, Techical summary reports # 185, and # 186, (1961).
Citations in EuDML Documents
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- J. C. Clerc, Problème du et groupe de Heisenberg (d’après Folland et Stein)
- Jacob Burbeam, Do Young Kwak, Norm and Taylor coefficients estimates of holomorphic functions in balls
- Adam Korányi, Massimo A. Picardello, Boundary behaviour of eigenfunctions of the Laplace operator on trees
- Adam Korányi, Stephen Vági, Cauchy-Szegö integrals for systems of harmonic functions
- J. Horvath, Transformations de Marcel Riesz
- David Bekollé, Aline Bonami, Estimates for the Bergman and Szegö projections in two symmetric domains of
- Jacqueline Detraz, Classes de Bergman de fonctions harmoniques
- Walter Rudin, Spaces of type
- Aline Bonami, Noël Lohoué, Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes et estimations
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