Construction de p-multiplicateurs

González Vieli, Francisco

Studia Mathematica, Tome 104 (1993), p. 135-142 / Harvested from The Polish Digital Mathematics Library

Résumé

Using characteristic functions of polyhedra, we construct radial p-multipliers which are continuous over $ℝ^{n}$ but not continuously differentiable through $S^{n - 1}$ and give a p-multiplier criterion for homogeneous functions over $ℝ^{2}$ . We also exhibit fractal p-multipliers over the real line.

Publié le : 1993-01-01

Zbl 0812.42007

EUDML-ID : urn:eudml:doc:215989

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     author = {Francisco Gonz\'alez Vieli},
     title = {Construction de p-multiplicateurs},
     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {135-142},
     zbl = {0812.42007},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv105i2p135bwm}
}

González Vieli, Francisco. Construction de p-multiplicateurs. Studia Mathematica, Tome 104 (1993) pp. 135-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv105i2p135bwm/

Bibliographie

[00000] [EG] R. E. Edwards and G. I. Gaudry, Littlewood-Paley and Multiplier Theory, Springer, Berlin 1977.

[00001] [Fa] K. Falconer, Fractal Geometry, Wiley, Chichester 1990.

[00002] [Fe] C. Fefferman, The multiplier problem for the ball, Ann. of Math. 94 (1971), 330-336. | Zbl 0234.42009

[00003] [H] L. Hörmander, Estimates for translation invariant operators in $L^{p}$ spaces, Acta Math. 104 (1960), 94-140. | Zbl 0093.11402

[00004] [L] R. Larsen, An Introduction to the Theory of Multipliers, Springer, New York 1971. | Zbl 0213.13301

[00005] [dL] K. de Leeuw, On $L_{p}$ multipliers, Ann. of Math. 81 (1965), 364-379.

[00006] [Ł] S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester 1988. | Zbl 0653.26001

[00007] [St] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.