Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T19:10:39.533Z Has data issue: false hasContentIssue false
  • English
  • Français

Coefficient Multipliers of Mixed Norm Spaces

Published online by Cambridge University Press:  20 November 2018

Miroljub Jevtić  and
Ivan Jovanović
Miroljub Jevtić
Affiliation:
Matematički fakultet Studentski trg 16 11000 Beograd Yugoslavia
Ivan Jovanović
Affiliation:
Filozofski fakultet—Matematika Ćirila i Metodija 2 18000 Niš Yugoslavia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give a simple characterization of coefficient multipliers from the mixed norm space Hp,q,α, 2 ≤ p ≤ ∞, into Hu,v,β, 0 ≤ u ≤ 2, which includes the main results of Wojtaszczyk in [5]. We also calculate multipliers from the Hardy space Hp, 2 ≤ p ≤ ∞, into Hq, 0 < q ≤ 2.

Keywords

30B1030H05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 283 - 285
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Ahern, P. and Jevtic, M., Duality and multipliers for mixed norm spaces, Mich. Math. J. 30(1983), 53–64.Google Scholar
2. Anderson, J. M. and Shields, A. L., Coefficient multipliers of Block functions, Trans. Amer. Math. Soc. (2) 224(1976), 255–265.Google Scholar
3. Jevtic, M. and Pavlovic, M., On multipliers from HP to £q,0 < q < p < 1, Arch. Math. 56(1991), 174–180.Google Scholar
4. Mateljevic, M. and Pavlovic, M., LP -behaviour of the integral means of analytic functions, Studia Math. 77(1984), 219–237.Google Scholar
5. Wojtaszczyk, P., On multipliers into Bergman spaces and Nevanlinna class, Canad. Math. Bull. (2) 33 (1990), 151–161.Google Scholar
6. Zygmund, A., Trigonometric series I, Cambridge University Press, 1959.Google Scholar