supported by State Committee Science MES RA,in frame of the research project N SCS 13-1A313
In this article, we prove the following statement that is true for both unbounded and bounded Vilenkin systems: for any ε∈ (0, 1), there exists a measurable set E C [0, 1) of measure bigger than 1 - s such that ...
We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series are also investigated.
supported by National Natural Science Foundation of China (11201354);Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Y201121);National Natural Science Foundation of Pre-Research Project (2011XG005);supported by Natural Science Fund of Hubei Province (2010CDB03305);Wuhan Chenguang Program (201150431096);Open Fund of State Key Laboratory of Information Engineeringin Surveying Mapping and Remote Sensing (11R01)
In [1] the boundedness of one dimensional maximal operator of dyadic derivative is discussed. In this paper, we consider the two-dimensional maximal operator of dyadic derivative on Vilenkin martingale spaces. With th...
the Hungarian National Foundation for Scientific Research(OTKA),Grant No.M36511/2001 and T 048780
A highly celebrated problem in dyadic harmonic analysis is the pointwise convergence of the Fejér (or (C, 1)) means of functions on unbounded Vilenkin groups. There are several papers of the author of this paper ...
Let G be a locally compact Vilenkin gro up . We will establish the boundedness in Morrey spaces L p,λ (G) for a la rge class of sublinear operators and linear commutators.