Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: UMD

Sortuj według:

Ogranicz wyniki do:

On Strongly Orthogonal Martingales in Umd Banach Spaces

Yaroslavtsev Ivan S.

Probability and Mathematical Statistics

2021

Vol. 41, Fasc. 1

153--171

In the present paper we introduce the notion of strongly orthogonal martingales. Moreover, we show that for any UMD Banach space X and for any X-valued strongly orthogonal martingales M and N such that N is weakly differentially subordinate to M, one has, for all 1 < p < 1, [formula] with the sharp constant χp;X being the norm of a decoupling-type martingale transform and lying in the range, [formula], where βp;X is the UMDp constant of X, hp;X is the norm of the Hilbert transform on Lp(R; X), [formula] are the Gaussian decoupling constants.

Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type

Lechner R., Passenbrunner M.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

Vol. 62, no 2

139--159

In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.

The One-Third-Trick and Shift Operators

Lechner R.

Bulletin of the Polish Academy of Sciences. Mathematics

2013

Vol. 61, no 3-4

219--238

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.