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We prove unconditionality of general Franklin systems in , where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.
Anna Kamont, and Paul F. X. Müller. "A martingale approach to general Franklin systems." Studia Mathematica 177.3 (2006): 251-275. <http://eudml.org/doc/285012>.
@article{AnnaKamont2006, abstract = {We prove unconditionality of general Franklin systems in $L^\{p\}(X)$, where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots.}, author = {Anna Kamont, Paul F. X. Müller}, journal = {Studia Mathematica}, keywords = {general Franklin system; vector-valued space; UMD space; unconditionality; martingale}, language = {eng}, number = {3}, pages = {251-275}, title = {A martingale approach to general Franklin systems}, url = {http://eudml.org/doc/285012}, volume = {177}, year = {2006}, }
TY - JOUR AU - Anna Kamont AU - Paul F. X. Müller TI - A martingale approach to general Franklin systems JO - Studia Mathematica PY - 2006 VL - 177 IS - 3 SP - 251 EP - 275 AB - We prove unconditionality of general Franklin systems in $L^{p}(X)$, where X is a UMD space and where the general Franklin system corresponds to a quasi-dyadic, weakly regular sequence of knots. LA - eng KW - general Franklin system; vector-valued space; UMD space; unconditionality; martingale UR - http://eudml.org/doc/285012 ER -