×

Differential properties on the boundary of functions that are holomorphic in the unit ball in \({\mathbb{C}}^ N\). (English. Russian original) Zbl 0682.32003

Math. Notes 45, No. 1-2, 122-128 (1989); translation from Mat. Zametki 45, No. 2, 51-59 (1989).
See the review in Zbl 0667.32007.

MSC:

32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
32A40 Boundary behavior of holomorphic functions of several complex variables

Citations:

Zbl 0667.32007
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] E. A. Storozhenko, ?On Jackson type theorems in HP, 0<p<1,? Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 4, 946-962 (1980). · Zbl 0455.42002
[2] V. G. Krotov, ?On the differentiability of functions from LP, 0<p<1,? Mat. Sb.,117 (159), No. 1, 95-113 (1982).
[3] V. G. Krotov, ?Differential properties of boundary functions in Hardy spaces,? Math. Nachr.,126, 241-253 (1986). · Zbl 0613.42018 · doi:10.1002/mana.19861260116
[4] R. R. Coifman, ?A real variable characterization of HP,? Stud. Math.,51, No. 3, 269-274 (1974). · Zbl 0289.46037
[5] W. Rudin, Function Theory in the Unit Ball of CN, Springer, New York (1980). · Zbl 0495.32001
[6] A. P. Calderon and A. Zygmund, ?Local properties of solutions of elliptic partial differential equations,? Stud. Math.,20, No. 1, 171-225 (1961). · Zbl 0099.30103
[7] L. I. Hedberg, ?On certain convolution inequalities,? Proc. Am. Math. Soc.,36, No. 2, 505-510 (1972). · doi:10.1090/S0002-9939-1972-0312232-4
[8] I. Graham, ?The radial derivative, fractional integrals, and the comparative growth of means of holomorphic functions on the unit ball in CN,? in: Recent Developments in Several Complex Variables (edited by J. E. Fornaess), Ann. Math. Studies, No. 100, Princeton Univ. Press, Princeton (1981), pp. 171-178.
[9] S. G. Krantz, ?Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables,? Math. Ann.,244, No. 3, 243-262 (1979). · Zbl 0407.43011 · doi:10.1007/BF01420346
[10] G. H. Hardy and J. E. Littlewood, ?Some properties of fractional integrals. II,? Math. Z.,34, No. 3, 403-439 (1932). · Zbl 0003.15601 · doi:10.1007/BF01180596
[11] F. Riesz, ?Über die Randwerte einer analytischen Funktion,? Math. Z.,18, Nos. 1-2, 87-95 (1923). · JFM 49.0225.01 · doi:10.1007/BF01192397
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.