ArticleOriginal scientific text

Title

A local algebra structure for Hp of the polydisc

Authors , 1

Affiliations

  1. Department of Mathematics, California State University Long Beach, California 90840, U.S.A.

Keywords

Duhamel product, Hardy spaces on the polydisc, local Banach algebras

Bibliography

  1. [1] P. L. Duren, Theory of Hp Spaces, Academic Press, New York 1970.
  2. [2] A. P. Frazier, The dual space of H^p of the polydisc for 0
  3. [3]E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, AMS Colloq. Publ. 31, Providence, R.I., 1957.
  4. [4] K. Merryfield, On the area integral, Carleson measures and Hp in the polydisc, Indiana Univ. Math. J. 34 (1985), 663-685.
  5. [5] P. Porcelli, Linear Spaces of Analytic Functions, Rand McNally, Chicago 1966.
  6. [6] J. Stewart and S. Watson, Topological algebras with finitely-generated bases, Math. Ann. 271 (1985), 315-318.
  7. [7] N. M. Wigley, A Banach algebra structure for Hp, Canad. Math. Bull. 18 (1975), 597-603.
  8. [8] W. Żelazko, On the locally bounded and m-convex topological algebras, Studia Math. 19 (1960), 333-356.
  9. [9] A. Zygmund, Trigonometric Series, 2nd ed., Cambridge Univ. Press, 1959.
Pages:
73-79
Main language of publication
English
Received
1989-04-11
Published
1991
Exact and natural sciences