@article{bwmeta1.element.bwnjournal-article-cmv71i2p273bwm, 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 and , Bull. Amer. Math. Soc. 13 (1985), 1-21.
[003] [4] L. Hörmander, Estimates for translation invariant operators on 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, 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 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