25 citations · 108 across the 37 of their papers we have counts for
37 papers
Quantitative estimates for the absolute convergence of wavelet-type series
Grigori A. Karagulyan, Gor A. Melkumyan
We establish new quantitative estimates for general systems of functions with wavelet-type dyadic structure. These estimates are applied to obtain the optimal growth of various typ…
On UC-multipliers for multiple trigonometric systems
Grigori A. Karagulyan
We investigate the class of sequences that can serve as almost-everywhere convergence Weyl multipliers for all rearrangements of multiple trigonometric systems. We show that…
Bounded oscillation operators on BMO spaces
Grigori A. Karagulyan
Bounded Oscillation (BO) operators were recently introduced in the author's paper [13], where it was proved that many operators in harmonic analysis (Calderón-Zygmund operators, Ca…
Maximal operators on spaces BMO and BLO
Grigori A. Karagulyan
We consider maximal kernel-operators on abstract measure spaces equipped with a ball-basis. We prove that under certain asymptotic condition on the kernels those operators…
On a criterion of uniform distribution
Grigori Karagulyan, Iren Petrosyan
We give an extension of a criterion of van der Corput on uniform distribution of sequences. Namely, we prove that a sequence is uniformly distributed modulo 1 if it is weakly…
On the best constants in Khintchine type inequalities for martingales
Grigori A. Karagulyan
For discrete martingale-difference sequences we consider Khintchine type inequalities, involving certain square function considered by Chan…