Czasopismo
2015
|
Vol 55, No. 1
|
17--22
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
We extend a theorem by Grafakos and Tao on multilinear interpolation between adjoint operators [Multilinear interpolation between adjoint operators, J. Funct. Anal. 199 (2003), 379–385] to an off-diagonal situation. We provide an application.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
17--22
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Department of Mathemacs, University of Missouri, Columbia MO, USA, grafakosl@missouri.edu
autor
- Department of Mathemacs, University of Missouri, Columbia MO, USA, rglz82@mail.missouri.edu
Bibliografia
- [1] J. Bergh and J. Löfström, Interpolation Spaces, An Introduction, Grundlehren der Mathematischen Wissenschaften, vol. 223, Berlin–New York 1976.
- [2] L. Grafakos, Modern Fourier Analysis, Third edition, Graduate Texts in Math., vol. 250, Springer, New York 2014, DOI 10.1007/978-1-4939-1230-8.
- [3] L. Grafakos and N. Kalton, Some remarks on multilinear maps and interpolation, Math. Ann. 319 (2001), 151–180, DOI 10.1007/PL00004426.
- [4] L. Grafakos, L. Liu, S. Lu, and F. Zhao, The multilinear Marcinkiewicz interpolation theorem revisited: The behavior of the constant, J. Funct. Anal. 262 (2012), 2289–2313, DOI 10.1016/j.jfa.2011.12.009.
- [5] L. Grafakos and T. Tao, Multilinear interpolation between adjoint operators, J. Funct. Anal. 199(2003), 379–385, DOI 10.1016/S0022-1236(02)00098-8.
- [6] S. Janson, On interpolation of multilinear operators, Function Spaces and Applications (Lund, Sweden, 1986), Lect. Notes in Math., vol. 1302, Springer, Berlin–New York, 1988, 290–302, DOI 10.1007/BFb0078880.
- [7] C. Kenig and E. M. Stein, Multilinear estimates and fractional integration, Math. Res. Lett. 6 (1999), 1–15, DOI 10.4310/MRL.1999.v6.n1.a1.
- [8] R. Sharpley, Interpolation of n pairs and counterexamples employing indices, J. Approx. Theory 13(1975), 117–127.
- [9] R. Sharpley, Multilinear weak type interpolation of mn-tuples with applications, Studia Math. 60(1977), 179–194.
- [10] R. Strichartz, A multilinear version of the Marcinkiewicz interpolation theorem, Proc. Amer. Math. Soc. 21 (1969), 441–444.
- [11] M. Zafran, A multilinear interpolation theorem, Studia Math. 62 (1978), 107–124.
- [12] A. Zygmund, Trigonometric Series, 2nd, Vol. II, Cambridge University Press, New York 1959.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-d02c9502-f82c-4e64-a5ad-46c076b49226