Composition operators and the Hilbert matrix

• Autorzy: E. Diamantopoulos , Aristomenis G. Siskakis
• Języki publikacji: EN

Abstrakty

EN

The Hilbert matrix acts on Hardy spaces by multiplication with Taylor coefficients. We find an upper bound for the norm of the induced operator.

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47B38: Operators on function spaces (general)
• 30H10: Hardy spaces
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 140
• Numer: 2
• Strony: 191-198

Daty

wydano

2000

otrzymano

1999-04-29

poprawiono

2000-02-01

Twórcy

autor

E. Diamantopoulos

• Department of Mathematics, University of Thessaloniki, 54006 Thessaloniki, Greece

autor

Aristomenis G. Siskakis

• Department of Mathematics, University of Thessaloniki, 54006 Thessaloniki, Greece

Bibliografia

• [CS] J. A. Cima and D. A. Stegenga, Hankel operators on $H^p$, in: Analysis in Urbana, Vol. I, London Math. Soc. Lecture Note Ser. 137, Cambridge Univ. Press, 1989, 133-150.
• [DU] P. L. Duren, Theory of $H^p$ Spaces, Academic Press, New York, 1970.
• [CM] C. Cowen and B. MacCluer, Composition Operators on Spaces of Analytic Functions, Stud. Adv. Math., CRC Press, Boca Raton, FL, 1995.
• [HLP] G. Hardy, J. E. Littlewood and G. Pólya, Inequalities, 2nd ed., Cambridge Univ. Press, 1988.
• [PA] J. R. Partington, An Introduction to Hankel Operators, London Math. Soc. Student Texts 13, Cambridge Univ. Press, 1988.
• [SH] J. H. Shapiro, Composition Operators and Classical Function Theory, Springer, New York, 1993.
• [WW] E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed., Cambridge Univ. Press, 1978.