This is a preview of subscription content, log in via an institution to check access.
Literature Cited
G. H. Hardy and J. E. Littlewood, “Some properties of fractional integrals. II,” Nath. Z.,34, No. 3, 403–439 (1932).
P. L. Duren, Theory of HP Spaces, Academic Press, New York-London (1970).
W. Rudin, Theory of Functions in the Unit Ball of Cn [Russian translation], Mir, Moscow (1984).
A. B. Aleksandrov, “Theory of functions in a ball,” in: Modern Problems of Mathematics. Fundamental Directions [in Russian], Vol. 8, Moscow (1985), pp. 115–190 (Advances in Science and Engineering, VINITI Akad. Nauk SSSR).
S. V. Shvedenko, “Hardy classes and their associated spaces of analytic functions in the unit disc, polydisc, and ball,” in: Mathematical Analysis [in Russian], Vol. 23, Moscow (1985), pp. 3–124 (Advances in Science and Engineering, VINITI Akad. Nauk SSSR).
K. T. Hahn and J. Mitchell, “Representation of linear functionals in HP spaces over bounded symmetric domains in Cn,” J. Math. Anal. Appl.,56, No. 2, 379–396 (1976).
S. V. Shvedenko, “On the Taylor coefficients of functions in Bergman spaces in a polydisc,” Dokl. Akad. Nauk SSSR,283, No. 2, 325–328 (1985).
A. P. Frazier, “The dual space of HP of the polydisc for 0<p<1,” Duke Math. J.,39, No. 2, 369–379 (1972).
Additional information
Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 4, pp. 216–218, July–August, 1988.
Rights and permissions
About this article
Cite this article
Shvedenko, S.V. Many-dimensional analogues of Hardy-Littlewood estimates for Taylor coefficients of functions of class HP. Sib Math J 29, 693–695 (1988). https://doi.org/10.1007/BF00969882
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969882