CONVERGENCE OF DOUBLE WALSH-FOURIER SERIES AND HARDY SPACES

It is proved that the maximal operator of the Marczinkiewicz-Fejér meams of a double Walsh-Fourier series is bounded from the two-dimensional dyadic martingale Hardy space H p to L p (2/3<p<∞) and is of weak type (1,1). As a consequence we obtain that the Marczinkiewicz-Fejér means of a function f∈L 1 converge a.e. to the function in question. Moreover, we prove that these means are uniformly bounded on H p whenever 2/3<p<∞. Thus, in case f∈H p , the Marczinkiewicz-Fejér means conv f in H p norm. The same results are proved for the conjugate means, too.

Characterizing Continuous dcpos by Liminf Convergence of Filters

It is proved in this note that,under a mild assumption,a dcpo L is continuous if and only if the liminf convergence on L is topological.

Moore-Smith Convergence in L-Fuzzifying Topological Spaces

This paper presents a definition of L-fuzzifying nets and the related L-fuzzifying generalized convergence spaces. The Moore-Smith convergence is established in L-fuzzifying topology. It is shown that the category of L-fuzzifying generalized convergence spaces is a cartesianclosed topological category which embeds the category of L-fuzzifying topological spaces as a reflective subcategory.

Convergence Analysis of Village Collective Economy Based on a Long-Term (1978-2018) Observation of 40 Villages in the Suburbs of Beijing

This paper uses the follow-up survey data of six time points between 1978 and 2018 from 40 fixed observation points in Beijing suburbs by stratified sampling,and makes a long-term observation and analysis of the convergence of village collective economy(VCE).The main findings are as follows.(1)Since the start of reform and opening-up,the gap between villages in terms of total village economic income(TVEI)and total assets of village collectives has obviously widened,and the gap between villages in terms of the number of members of VCE organizations has also widened to a certain extent.(2)There is a big gap in VCE between villages in urban-rural fringe,plain and mountainous areas,and the convergence of"space club"appears.(3)In the early stage of reform and opening up,the VCE development had the opportunity to reshuffle,but from 1998 to 2018,village development showed a trend of"goodmedium-poor"'hierarchical solidification.Therefore,it is necessary to explore a new path of cross-village joint development,especially to develop and strengthen the township-level collective economy,so as to promote farmers'common prosperity in ruralareas.

DOA estimation and mutual coupling calibration with the SAGE algorithm

In this paper, a novel algorithm is presented for direction of arrival（DOA） estimation and array self-calibration in the presence of unknown mutual coupling. In order to highlight the relationship between the array output and mutual coupling coefficients, we present a novel model of the array output with the unknown mutual coupling coefficients. Based on this model, we use the space alternating generalized expectation-maximization（SAGE） algorithm to jointly estimate the DOA parameters and the mutual coupling coefficients. Unlike many existing counterparts, our method requires neither calibration sources nor initial calibration information. At the same time,our proposed method inherits the characteristics of good convergence and high estimation precision of the SAGE algorithm. By numerical experiments we demonstrate that our proposed method outperforms the existing method for DOA estimation and mutual coupling calibration.