98-21   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Hermann König:

On the best constants in the Khintchine inequality for variables on spheres

Let tex2html_wrap_inline13 be an i.i.d. sequence of random variables equidistributed on tex2html_wrap_inline15 for tex2html_wrap_inline17. Let tex2html_wrap_inline19. We determine the best constants tex2html_wrap_inline21 and tex2html_wrap_inline23 such that for all tex2html_wrap_inline25 and all sequences tex2html_wrap_inline27
eqnarray6
Here tex2html_wrap_inline29 and tex2html_wrap_inline31 denote the euclidean norms on tex2html_wrap_inline33 and tex2html_wrap_inline35, respectively.

Keywords: Khintchine inequality, Best constants, Bessel functions

Mail an Jens Burmeister
[Thu Feb 19 18:56:34 2009]
Impressum