Free interpolation in Hardy-Orlicz spaces
Hartmann, Andreas
Studia Mathematica, Tome 133 (1999), p. 179-190 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216649 
@article{bwmeta1.element.bwnjournal-article-smv135i2p179bwm,
     author = {Andreas Hartmann},
     title = {Free interpolation in Hardy-Orlicz spaces},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {179-190},
     zbl = {0939.30025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p179bwm}
}

Hartmann, Andreas. Free interpolation in Hardy-Orlicz spaces. Studia Mathematica, Tome 133 (1999) pp. 179-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i2p179bwm/

[00000] [1] L. Carleson, An interpolation problem for analytic functions, Amer. J. Math. 80 (1958), 921-930. | Zbl 0085.06504

[00001] [2] D. L. Fernandez and J. B. Garcia, Interpolation of Orlicz-valued function spaces and U.M.D. property, Studia Math. 99 (1991), 23-40. | Zbl 0836.46067

[00002] [3] J. B. Garnett, Bounded Analytic Functions, Academic Press, 1981. | Zbl 0469.30024

[00003] [4] J. Gustavsson and J. Peetre, Interpolation of Orlicz spaces, Studia Math. 60 (1977), 33-59. | Zbl 0353.46019

[00004] [5] A. Hartmann, Interpolation libre et caractérisation des traces de fonctions holomorphes sur les réunions finies de suites de Carleson, PhD thesis, Université Bordeaux I, 1996.

[00005] [6] A. Hartmann, Une approche de l’interpolation libre généralisée par la théorie des opérateurs et caractérisation des traces Hp|Λ, J. Operator Theory 35 (1996), 281-316.

[00006] [7] A. Hartmann, Traces of certain classes of holomorphic functions on finite unions of Carleson sequences, Glasgow Math. J., to appear. | Zbl 1151.30346

[00007] [8] M. Hasumi and S. Kataoka, Remarks on Hardy-Orlicz classes, Arch. Math. (Basel) 51 (1988), 455-463. | Zbl 0657.30026

[00008] [9] P. Jones, L∞-estimates for the ∂¯-problem in a half plane, Acta Math. 150 (1983), 137-152. | Zbl 0516.35060

[00009] [10] V. Kabaĭla, Interpolation sequences for the Hp classes in the case p < 1, Litovsk. Mat. Sb. 3 (1963), 141-147.

[00010] [11] M. A. Krasnosel'skii and Ya. Rutickii, Convex Functions and Orlicz Spaces, Noordhoff, Groningen, 1961.

[00011] [12] R. Lesniewicz, On linear functionals in Hardy-Orlicz spaces, I, Studia Math. 46 (1973), 53-77. | Zbl 0294.46019

[00012] [13] N. K. Nikol'skiĭ, Bases of invariant subspaces and operator interpolation, Proc. Steklov Inst. Math. 130 (1979), no. 4, 55-132.

[00013] [14] N. K. Nikol'skiĭ, Treatise on the Shift Operator, Springer, Berlin, 1986.

[00014] [15] M. M. Rao and Z. D. Ren, Theory of Orlicz Spaces, Pure and Appl. Math., Dekker, New York, 1991. | Zbl 0724.46032

[00015] [16] M. Rosenblum and J. Rovnyak, Hardy Classes and Operator Theory, Oxford Univ. Press, New York, 1985. | Zbl 0586.47020

[00016] [17] W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.

[00017] [18] R. Ryan, Conjugate functions in Orlicz spaces, Pacific J. Math. 13 (1963), 1371-1377. | Zbl 0133.37301

[00018] [19] H. S. Shapiro and A. L. Shields, On some interpolation problems for analytic functions, Amer. J. Math. 83 (1961), 513-532. | Zbl 0112.29701

[00019] [20] V. I. Vasyunin, Unconditionally convergent spectral decompositions and interpolation problems, Proc. Steklov Inst. Math. 130 (1979), no. 4, 1-53. | Zbl 0438.47039

[00020] [21] V. I. Vasyunin, Traces of bounded analytic functions on finite unions of Carleson sets, J. Soviet Math. 27 (1984), no. 1, 2448-2450. | Zbl 0543.30024

[00021] [22] S. A. Vinogradov and V. P. Khavin, Free interpolation in H∞ and some other classes of functions I, ibid. 9 (1978), no. 2, 137-171. | Zbl 0398.41002

[00022] [23] S. A. Vinogradov and V. P. Khavin, Free interpolation in H∞ and some other classes of functions II, ibid. 14 (1980), no. 2, 1027-1065. | Zbl 0442.41003