Construction de p-multiplicateurs

• Autorzy: Francisco Javier González Vieli
• Języki publikacji: FR EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B15: Multipliers
• 42A45: Multipliers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 105
• Numer: 2
• Strony: 135-142

Daty

wydano

1993

otrzymano

1992-04-07

Twórcy

autor

Francisco Javier González Vieli

• Institut de Mathématiques, Université de Lausanne, CH-1015 Lausanne, Suisse

Bibliografia

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