Complex interpolation for Banach spaces
Giovanni Dore; Davide Guidetti; Alberto Venni
Rendiconti del Seminario Matematico della Università di Padova (1986)
- Volume: 76, page 1-36
- ISSN: 0041-8994
Access Full Article
topHow to cite
topDore, Giovanni, Guidetti, Davide, and Venni, Alberto. "Complex interpolation for $2^N$ Banach spaces." Rendiconti del Seminario Matematico della Università di Padova 76 (1986): 1-36. <http://eudml.org/doc/108040>.
@article{Dore1986,
author = {Dore, Giovanni, Guidetti, Davide, Venni, Alberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {complex interpolation for several Banach spaces; vector valued holomorphic functions; Poisson integrals; complex method of Calderòn; dual spaces},
language = {eng},
pages = {1-36},
publisher = {Seminario Matematico of the University of Padua},
title = {Complex interpolation for $2^N$ Banach spaces},
url = {http://eudml.org/doc/108040},
volume = {76},
year = {1986},
}
TY - JOUR
AU - Dore, Giovanni
AU - Guidetti, Davide
AU - Venni, Alberto
TI - Complex interpolation for $2^N$ Banach spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 76
SP - 1
EP - 36
LA - eng
KW - complex interpolation for several Banach spaces; vector valued holomorphic functions; Poisson integrals; complex method of Calderòn; dual spaces
UR - http://eudml.org/doc/108040
ER -
References
top- [1] J. Bergh - J. Löfström, Interpolation Spaces. An Introduction, Springer-Verlag, Berlin-Heidelberg-New York, 1976. Zbl0344.46071MR482275
- [2] J.I. Bertolo - D.L. Fernandez, On the connection between the real and the complex interpolation method for several Banach spaces, Rend. Sem. Mat. Univ. Padova, 66 (1982), pp. 193-209. Zbl0517.46053MR664582
- [3] A.P. Caldfrón, Intermediate spaces and interpolation, the complex method, Studia Math., 24 (1964), pp. 113-190. Zbl0204.13703MR167830
- [4] R.R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, The complex method for interpolation of operators acting on families of Banach spaces, Lecture Notes in Math., no. 779, Springer-Verlag, Berlin-Heidelberg-New York, 1980, pp. 123-153. Zbl0427.46049MR576042
- [5] R.R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, A theory of complex interpolation for families of Banach spaces, Adv. in Math., 43 (1982), pp. 203-229. Zbl0501.46065MR648799
- [6] M. Cwikel - S. Fisher, Complex interpolation spaces on multiply-connected domains, Adv. in Math., 48 (1983), pp. 286-294. Zbl0518.46059MR704387
- [7] N. Dinculeanu, Linear operations on Zp-spaces, in Vector and Operator Valued Measures and Applications (ed. by D. H. Tucker and H. B. Maynard), Academic Press Inc., New York-London, 1973, pp. 109-124. Zbl0293.46032MR341066
- [8] G. Dore - D. Guidetti - A. Venni, Some properties of the sum and the intersection of normed spaces, Atti Sem. Mat. Fis. Univ. Modena, 31 (1982), pp. 325-331. Zbl0541.46060MR742678
- [9] A. Favini, Su una estensione del metodo d'interpolazione complesso, Rend. Sem. Mat. Univ. Padova, 47 (1972), pp. 243-298. Zbl0248.46032MR324439
- [10] D.L. Fernandez, Interpolation for 2n-tuples of Banach spaces, Studia Math., 65 (1979), pp. 175-201. Zbl0462.46051
- [11] D.L. Fernandez, On the interpolation of 2n Banach spaces. - 1: The Lions-Peetre interpolation method, Bul. Inst. Politehn. Iaşi Sect., I 26, no. 1-2 (1980), pp. 49-54. Zbl0517.46052MR608496
- [12] D.L. Fernandez, On the duality of interpolation spaces of several Banach spaces, Acta Sci. Math. (Szeged), 44 (1982), pp. 43-51. Zbl0487.46048MR660511
- [13] D.L. Fernandez, An extension of the complex method of interpolation, Boll. Un. Mat. Ital., (5), B-18 (1981), pp. 721-732. Zbl0481.46033MR641731
- [14] S.G. Kre - L.I. Nikolova, Holomorphic functions in a family of Banach spaces, and interpolation, Soviet Math. Dokl., 21 (1980), pp.131-134 ( = Dokl. Akad. Nauk SSSR, 250 (1980), pp. 547-550). Zbl0462.46052MR557785
- [15] S.G. Kre - L.I. Nikolova, Complex interpolation for families of Baanch spaces, Ukrainian Math. J., 34 (1982), pp.26-36 ( = Ukrain. Mat. Ž., 34 (1982), pp. 31-42). Zbl0502.46054MR647928
- [16] S.G. Kre - Ju. I. Petunin- E.M. Semenov, Interpolation of linear operators, Amer. Math. Soc., Providence, R.I., 1982. MR649411
- [17] J.L. Lions, Une construction d'espaces d'interpolation, C. R. Acad. Sci. Paris Sér. A-B, 251 (1960), pp. 1853-1855. Zbl0118.10702MR119093
- [18] L.I. Nikolova, Kompleksnyĭ metod interpoljacii dlja neskol'kih prostranstv, C. R. Acad. Bulgare Sci., 31 (1978), pp. 1523-1526. Zbl0408.41001MR985883
- [19] R.S. Phillips, On weakly compact subsets of a Banach space, Amer. J. Math., 65 (1943), pp. 108-136. Zbl0063.06212MR7938
- [20] W. Rudin, Function Theory in Polydiscs, W. A. Benjamin Inc., New York-Amsterdam, 1969. Zbl0177.34101MR255841
- [21] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1978. Zbl0387.46032MR503903
- [22] A. Zygmund, Trigonometric Series, 2nd ed., Cambridge University Press, Cambridge, 1968. Zbl0367.42001MR236587
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.