Construction de p-multiplicateurs

Francisco González Vieli

Studia Mathematica (1993)

  • Volume: 105, Issue: 2, page 135-142
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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González Vieli, Francisco. "Construction de p-multiplicateurs." Studia Mathematica 105.2 (1993): 135-142. <http://eudml.org/doc/215989>.

@article{GonzálezVieli1993,
author = {González Vieli, Francisco},
journal = {Studia Mathematica},
keywords = {characteristic functions of polyhedra; radial -multipliers; fractal -multipliers over the real line},
language = {fre},
number = {2},
pages = {135-142},
title = {Construction de p-multiplicateurs},
url = {http://eudml.org/doc/215989},
volume = {105},
year = {1993},
}

TY - JOUR
AU - González Vieli, Francisco
TI - Construction de p-multiplicateurs
JO - Studia Mathematica
PY - 1993
VL - 105
IS - 2
SP - 135
EP - 142
LA - fre
KW - characteristic functions of polyhedra; radial -multipliers; fractal -multipliers over the real line
UR - http://eudml.org/doc/215989
ER -

References

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  1. [EG] R. E. Edwards and G. I. Gaudry, Littlewood-Paley and Multiplier Theory, Springer, Berlin 1977. 
  2. [Fa] K. Falconer, Fractal Geometry, Wiley, Chichester 1990. 
  3. [Fe] C. Fefferman, The multiplier problem for the ball, Ann. of Math. 94 (1971), 330-336. Zbl0234.42009
  4. [H] L. Hörmander, Estimates for translation invariant operators in L p spaces, Acta Math. 104 (1960), 94-140. Zbl0093.11402
  5. [L] R. Larsen, An Introduction to the Theory of Multipliers, Springer, New York 1971. Zbl0213.13301
  6. [dL] K. de Leeuw, On L p multipliers, Ann. of Math. 81 (1965), 364-379. 
  7. [Ł] S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester 1988. Zbl0653.26001
  8. [St] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. 

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