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Musielak–Orlicz–Lorentz Hardy Spaces:Maximal Function,Finite Atomic,and Littlewood–Paley Characterizations with Applications to Dual Spaces and Summability of Fourier Transforms: 《Acta Mathematica Sinica,English Series》2025年第1期1-77,共77页Hongchao Jia Der-Chen Chang Ferenc Weisz Dachun Yang Wen Yuan; partially supported by the National Key Research and Development Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant Nos.12371093,12071197,and 12122102);the Fundamental Research Funds for the Central Universities(Grant No.2233300008);partially supported by a McDevitt Endowment Fund at Georgetown University。; Let q∈(0,∞]andϕbe a Musielak-Orlicz function with uniformly lower type p_(ϕ)^(−)∈(0,∞)and uniformly upper type p_(ϕ)^(−)∈(0,∞).In this article,the authors establish various realvariable characterizations of the ...; 关键词：Musielak-Orlicz-Lorentz Hardy space finite atom duality Littlewood-Paley characterization Fourier transform

An Algorithmic Approach to the q-Summability Problem of Bivariate Rational Functions被引量：1: 《Journal of Systems Science & Complexity》2021年第1期107-121,共15页WANG Rong-Hua; supported by the National Natural Science Foundation of China under Grant No.11871067;the Natural Science Foundation of Tianjin under Grant No.19JCQNJC14500。; In 2014, Chen and Singer solved the summability problem of bivariate rational functions.Later an algorithmic proof was presented by Hou and the author. In this paper, the algorithm will be simplified and adapted to th...; 关键词：Gosper's algorithm polynomial residues q-summability

On Absolute N?rlund Spaces and Matrix Operators: 《Acta Mathematica Sinica,English Series》2018年第5期812-826,共15页G.Canan HAZAR M.Ali SARIG?L; Supported by Pamukkale University Scientific Research Pro jects Coordinatorship(Grant No.2014FBE061); In a more recent paper, the second author has introduced a space ｜Cα｜k as the set of all series by absolute summable using Cesaro matrix of order α 〉 -1. In the present paper we extend it to the absolute NSrlund ...; 关键词：Sequence spaces absolute Norlund summability dual spaces matrix transformations bounded linear operator BK spaces

ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α: 《Acta Mathematica Scientia》2014年第2期473-482,共10页Hacer SENGL Mikail ET; In this article, we introduce the concept of lacunary statistical convergence of order a of real number sequences and give some inclusion relations between the sets of lacu- nary statistical convergence of order α an...; 关键词：Statistical convergence lacunary sequence Cesaro summability

An application of Chen's theorem to convergence of Fourier multiplier transforms: 《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期455-464,共10页SHI Xian-liang CHEN Yang HU Lan; Supported by the National Natural Science Foundation of China(11071065,11171306); Let V be a star shaped region. In 2006, Colzani, Meaney and Prestini proved that if function f satisfies some condition, then the multiplier transform with the characteristic function of tV as the multiplier tends to ...; 关键词：Fourier transform MULTIPLIER SUMMABILITY CONVERGENCE almost everywhere

On Poincaré Series of Unicritical Polynomials at the Critical Point: 《Communications in Mathematics and Statistics》2013年第1期1-17,共17页Juan Rivera-Letelier Weixiao Shen; In this paper,we show that for a unicritical polynomial having a priori bounds,the unique conformal measure of minimal exponent has no atom at the critical point.For a conformal measure of higher exponent,we give a ne...; 关键词：Complex dynamics Julia sets Poincaréseries Summability condition

Approximation of Integrable Functions by General Linear Operators of Their Fourier Series: 《Acta Mathematica Sinica,English Series》2012年第6期1119-1134,共16页Wodzimierz LENSKI Bogdan SZAL; The pointwise estimates of the deviation Tn,A,Bf（·） -- f（·） in terms of moduli of continuity w. f and w. f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. ...; 关键词：Rate of approximation summability of Fourier series

λ-STATISTICAL CONVERGENCE OF ORDER α: 《Acta Mathematica Scientia》2011年第3期953-959,共7页R.olak .A.Bekta■; supported by FUBAP under the Project no.1683; In this paper,we introduce the concept of λ-statistical convergence of order α.Also some relations between the λ-statistical convergence of order α and strong（V,λ）-summability of order α are given.; 关键词：SEQUENCES statistical convergence Cesàro summability

On the Gauss-Weierstrass Summability of Multiple Trigonometric Series at μ-smoothness Points: 《Acta Mathematica Sinica,English Series》2011年第4期741-746,共6页Sinem SEZER Ilham A. ALIEV; The notion of μ-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.; 关键词：Multiple Fourier series Fourier transform Gauss-Weierstrass summability modulus ofcontinuity

Restricted Summability of Fourier Transforms and Local Hardy Spaces: 《Acta Mathematica Sinica,English Series》2010年第9期1627-1640,共14页Ferenc WEISZ; Supported by the Hungarian Scientific Research Funds (OTKA) No. K67642; A general summability method, the so-called θ-summability is considered for multi-dimensional Fourier transforms. Under some conditions on θ, it is proved that the maximal operator of the θ-means defined in a cone ...; 关键词：Wiener amalgam spaces local Hardy spaces 0-summability of Fourier transforms atomic decomposition

SUMMABILITY