The One-Third-Trick and Shift Operators

Richard Lechner. "The One-Third-Trick and Shift Operators." Bulletin of the Polish Academy of Sciences. Mathematics 61.3 (2013): 219-238. <http://eudml.org/doc/286479>.

@article{RichardLechner2013,
abstract = {We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.},
author = {Richard Lechner},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {UMD; rearrangement of the Haar system; shift operators; one-third-trick; martingale transform},
language = {eng},
number = {3},
pages = {219-238},
title = {The One-Third-Trick and Shift Operators},
url = {http://eudml.org/doc/286479},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Richard Lechner
TI - The One-Third-Trick and Shift Operators
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 3
SP - 219
EP - 238
AB - We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.
LA - eng
KW - UMD; rearrangement of the Haar system; shift operators; one-third-trick; martingale transform
UR - http://eudml.org/doc/286479
ER -