Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
Brandolini, Luca ; Colzani, Leonardo
Colloquium Mathematicae, Tome 70 (1996), p. 273-286 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:210441
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     author = {Luca Brandolini and Leonardo Colzani},
     title = {Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces},
     journal = {Colloquium Mathematicae},
     volume = {70},
     year = {1996},
     pages = {273-286},
     zbl = {0913.35014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv71i2p273bwm}
}
Brandolini, Luca; Colzani, Leonardo. Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces. Colloquium Mathematicae, Tome 70 (1996) pp. 273-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv71i2p273bwm/

[000] [1] C. Bennett, Banach function spaces and interpolation methods III. Hausdorff-Young estimates, J. Approx. Theory 13 (1975), 267-275. | Zbl 0311.42005

[001] [2] C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988. | Zbl 0647.46057

[002] [3] J. J. F. Fournier and J. Stewart, Amalgams of Lp and lq, Bull. Amer. Math. Soc. 13 (1985), 1-21.

[003] [4] L. Hörmander, Estimates for translation invariant operators on Lp spaces, Acta Math. 104 (1960), 93-140. | Zbl 0093.11402

[004] [5] C. E. Kenig, G. Ponce and L. Vega, Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991), 33-69. | Zbl 0738.35022

[005] [6] V. Lebedev and A. Olevskiĭ, C1 changes of variables: Beurling-Helson type theorem and Hörmander conjecture on Fourier multipliers, Geom. Funct. Anal. 4 (1994), 213-235. | Zbl 0798.42004

[006] [7] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II, Springer, 1979. | Zbl 0403.46022

[007] [8] W. Littman, The wave operator and Lp norms, J. Math. Mech. 12 (1963), 55-68. | Zbl 0127.31705

[008] [9] D. Müller and A. Seeger, Inequalities for spherically symmetric solutions of the wave equation, Math. Z. 218 (1995), 417-426. | Zbl 0828.35072

[009] [10] R. S. Strichartz, Restriction of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J. 44 (1977), 705-714. | Zbl 0372.35001

[010] [11] P. Szeptycki, Some remarks on the extended domain of Fourier transform, Bull. Amer. Math. Soc. 73 (1967), 398-402. | Zbl 0166.09903