Some remarks on Bochner-Riesz means

• Autorzy: S. Thangavelu
• Języki publikacji: EN

Abstrakty

EN

We study $L^p$ norm convergence of Bochner-Riesz means $S_R^δ f$ associated with certain non-negative differential operators. When the kernel $S_R^m(x,y)$ satisfies a weak estimate for large values of m we prove $L^p$ norm convergence of $S_R^δ f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.

Słowa kluczowe

EN

unitary representations; Schrödinger operators; Bochner-Riesz means; nilpotent groups; Rockland operators; Heisenberg group; summability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 2
• Strony: 217-230

Daty

wydano

2000

otrzymano

1999-01-28

poprawiono

1999-10-18

Twórcy

autor

S. Thangavelu

• Stat-Math Division, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore-560 059, India

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