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A general theorem covering many absolute summability methods

100%

Sulaiman W. T.

Colloquium Mathematicum

1999

tom 80

nr 2

245-252

A general theorem concerning many absolute summability methods is proved.

Some remarks on Bochner-Riesz means

75%

Thangavelu S.

Colloquium Mathematicum

2000

tom 83

nr 2

217-230

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.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Sulaiman W. T.

1 Thangavelu S.

1 2000

1 1999

Wyniki wyszukiwania

A general theorem covering many absolute summability methods

Some remarks on Bochner-Riesz means