You are here

Home » Content

Hardy Spaces on the Polydisk

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2016

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper we will study the boundary values properties of the functions in the Hardy spaces; generalize the F. and M. Riesz theorem to higher dimensions; discuss the existence of boundary values of the functions in Hp(Dn) on non-distinguished boundary @ Dn \ Tn and the intersection of the spaces Hp u (Dn).
Bookmark/Search this post with
  • 3
292
304
  • English

REFERENCES

References: 

[1] M. A. Alan and N. G. Go˘gu¸s. Poletsky-Stessin-Hardy spaces in the plane, Complex Analysis
and Operator Theory, 8, 975-990. 2014.
[2] J. P. Demailly. Mesures de Monge-Amp`re et mesures pluriharmoniques, Mathematische
Zeitschrift, 194, 519-564. 1987.
[3] E. A. Poletsky and M. I. Stessin. Hardy and Bergman Spaces on Hyperconvex Domains and
Their Composition Operators, Indiana University Mathematics Journal, 57, 2153-2201.
2008.
[4] E. A. Poletsky. Projective Limits of Poletsky–Stessin Hardy Spaces, arXiv:1503.00575.
[5] E. A. Poletsky and K. R. Shrestha. On Weighted Hardy Spaces on the Unit Disk,
arXiv:1503.00535.
[6] W. Rudin. Real and Complex Analysis, Third edition, McGraw Hill, 1987.
[7] W. Rudin. Function Theory in Polydiscs, W. A. Benjamin, Inc. New York 1969.
[8] S. ¸Sahin. Poletsky-Stessin Hardy spaces on domains bounded by an analytic Jordan curve
in C, arXiv:1303.2322.
[9] K. R. Shrestha. Boundary Values Properties of Functions in Weighted Hardy Spaces,
arXiv:1309.6561.
[10] K. R. Shrestha. Weighted Hardy spaces on the unit disk, Complex Analysis and Operator
Theory, 9, 1377-1389. 2015.
[11] A. Zygmund. Trigonometric Series, Third Edition, Cambridge University Press, 2002.

Thank you for copying data from http://www.arastirmax.com