On Rosenthal's inequality and rearrangement invariant spaces
- 43 Downloads
KeywordsInvariant Space Rearrangement Invariant Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.M. Sh. Braverman, “Rosenthal's inequality and characterization of the spacesL p,” Sibirsk. Mat. Zh.,32, No. 3, 31–38 (1991).Google Scholar
- 2.H. P. Rosenthal, “On the subspaces ofL p (p>2) spanned by sequences of independent random variables,” Israel J. Math.,8, No. 3, 273–303 (1970).Google Scholar
- 3.J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. Function Spaces, Springer, Berlin (1979).Google Scholar
- 4.S. G. Kreîn, Yu. I. Petunin, and E. M. Semënov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).Google Scholar
- 5.E. Stein and G. Weiss, Introduction to Harmonic Analysis on Euclidean Spaces [Russian translation], Mir, Moscow (1974).Google Scholar
- 6.M. Sh. Braverman, “Estimates for sums of independent random variables in rearrangement invariant spaces,” Ukrain. Mat. Zh.,43, No. 2, 173–178 (1991).Google Scholar
- 7.N. L. Carothers and S. J. Dilworth, “Inequalities for sums of independent random variables,” Proc. Amer. Math. Soc.,104, 221–226 (1988).Google Scholar
- 8.W. P. Johnson and G. Schechtman, “Sums of independent random variables in rearrangement invariant spaces,” Ann. Probab.,17, No. 2, 789–808 (1989).Google Scholar
- 9.Yu. V. Prokhorov, “An extremal problem in probability theory,” Teor. Veroyatnost. i Primenen.,4, No. 2, 211–214 (1959).Google Scholar
- 10.Yu. V. Prokhorov, “Strong stability of sums and infinitely divisible distributions,” Teor. Veroyatnost. i Primenen.,3, No. 2, 153–165 (1958).Google Scholar
© Plenum Publishing Corporation 1993