A local algebra structure for $H^p$ of the polydisc

• Autorzy: Kent G. Merryfield , Saleem Watson
• Języki publikacji: EN

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 1
• Strony: 73-79

Daty

wydano

1991

otrzymano

1989-04-11

Twórcy

autor

Kent G. Merryfield

autor

Saleem Watson

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

Bibliografia

• [1] P. L. Duren, Theory of $H^p$ Spaces, Academic Press, New York 1970.
• [2] A. P. Frazier, The dual space of H^p of the polydisc for 0<p<1, Duke Math. J. 39 (1972), 369-379.
• [3]E. Hille and R. S. Phillips, Functional Analysis and Semi-groups, AMS Colloq. Publ. 31, Providence, R.I., 1957.
• [4] K. Merryfield, On the area integral, Carleson measures and $H^p$ in the polydisc, Indiana Univ. Math. J. 34 (1985), 663-685.
• [5] P. Porcelli, Linear Spaces of Analytic Functions, Rand McNally, Chicago 1966.
• [6] J. Stewart and S. Watson, Topological algebras with finitely-generated bases, Math. Ann. 271 (1985), 315-318.
• [7] N. M. Wigley, A Banach algebra structure for $H^p$, Canad. Math. Bull. 18 (1975), 597-603.
• [8] W. Żelazko, On the locally bounded and m-convex topological algebras, Studia Math. 19 (1960), 333-356.
• [9] A. Zygmund, Trigonometric Series, 2nd ed., Cambridge Univ. Press, 1959.