Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Hermite Expansions on Rn for Radial Functions

S. Thangavelu
Proceedings of the American Mathematical Society
Vol. 118, No. 4 (Aug., 1993), pp. 1097-1102
DOI: 10.2307/2160062
Stable URL: http://www.jstor.org/stable/2160062
Page Count: 6
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available

Abstract

It is proved that the Riesz means $S^\delta_R f, \delta > 0$, for the Hermite expansions on Rn, n ≤ 2, satisfy the uniform estimates |Sδ Rf|p ≤ C|f|p for all radial functions if and only if p lies in the interval $2n/(n + 1 + 2\delta) < p < 2n/(n - 1 - 2\delta)$.

• 1097
• 1098
• 1099
• 1100
• 1101
• 1102