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SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES
《Acta Mathematica Scientia》2024年第3期810-822,共13页陈泳 Young Joo Lee 
supported by the NSFC(12271134,11771401);supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2019R1I1A3A01041943)。
We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of ...
关键词：dual Toeplitz operators Fock-Sobolev spaces symbol map 
INFINITE SERIES FORMULAE RELATED TO GAUSS AND BAILEY 2F1(1/2)-SUMS
《Acta Mathematica Scientia》2020年第2期293-315,共23页Wenchang CHU 
The unifiedΩ-series of the Gauss and Bailey2F1(1/2)-sums will be investigated by utilizing asymptotic methods and the modified Abel lemma on summation by parts.Several remarkable transformation theorems for theΩ-ser...
关键词：Abel's lemma on summation by parts classical hypergeometric series Gauss'2F1(1/2)-sum Bailey's 2F1(1/2)-sum Saddle point method Catalan's constant 
LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES被引量：1
《Acta Mathematica Scientia》2011年第1期344-352,共9页刘莉 万成高 冯艳钦 
supported by the Youth Foundation of Hubei Province Department of Education of China (Q200710002)
In this article, we obtain the large deviations and moderate deviations for negatively dependent （ND） and non-identically distributed random variables defined on （-∞, ＋∞）. The results show that for some non-ide...
关键词：Large deviation moderate deviation negative dependence non-identical distribution 
LOCAL INEQUALITIES FOR SIDON SUMS AND THEIR APPLICATIONS被引量：1
《Acta Mathematica Scientia》2005年第2期305-316,共12页范爱华 章逸平 
The authors consider Sidon sets of first kind. By comparing them with the Steinhaus sequence, they prove a local Khintchine-Kahane inequality on compact sets. As consequences, they prove the following results for Sido...
关键词：Sidon set. Khintchine-Kahanc inequality maximal inequality comparison principle contraction principle 
A THEOREM ON THE CONVERGENCE OF SUMS OF INDEPENDENT RANDOM VARIABLES
《Acta Mathematica Scientia》2001年第3期331-338,共8页孔繁超 唐启鹤 
Let Sigma (infinity)(n=1) X-n be a series of independent random variables with at least one non-degenerate X-n, and let F-n be the distribution function of its partial sums S-n = Sigma (n)(k=1) X-k. Motivated by Hilde...
关键词：sums of independent random variabies essential convergence limit distribution Levy distance three series theorem 
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