40 citations · 489 across the 52 of their papers we have counts for
4 papers · 1 filter
Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces
Pavel Zorin-Kranich
Let be a martingale with values in a uniformly -smooth Banach space and any positive weight. We show that …
Weighted Davis inequalities for martingale square functions
Dennis Wollgast, Pavel Zorin-Kranich
For a Hilbert space valued martingale and an adapted sequence of positive random variables , we show the weighted Davis type inequality \[ \mathbb{E} \Bigl( |f_0| w_…
A stationary set method for estimating oscillatory integrals
Saugata Basu, Shaoming Guo, Ruixiang Zhang +1
We propose a new method of estimating oscillatory integrals, which we call a stationary set method. We use it to obtain the sharp convergence exponents of Tarry's problems in dimen…
Improved surrogate bi-parameter maximum principle
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1
Logarithmic potentials and many other potentials satisfy maximum principle. The dyadic version of logarithmic potential can be easily introduced, it lives on dyadic tree and also s…