亚洲免费av电影一区二区三区,日韩爱爱视频,51精品视频一区二区三区,91视频爱爱,日韩欧美在线播放视频,中文字幕少妇AV,亚洲电影中文字幕,久久久久亚洲av成人网址,久久综合视频网站,国产在线不卡免费播放

        ?

        齊次 Morrey-Herz 空間上廣義 Riesz 變換及其交換子的有界性

        2012-07-05 14:27:50楊明華許明楊曉轉(zhuǎn)

        楊明華,許明,楊曉轉(zhuǎn)

        (暨南大學(xué)數(shù)學(xué)系,廣東 廣州 510632

        齊次 Morrey-Herz 空間上廣義 Riesz 變換及其交換子的有界性

        楊明華,許明,楊曉轉(zhuǎn)

        (暨南大學(xué)數(shù)學(xué)系,廣東 廣州 510632

        1 引言

        2 預(yù)備知識

        3 主要結(jié)果及其證明

        4 補充說明

        [1] Calderˊon A P, Zygmund A. On the existence of certain singular integral[J]. Acta. Math., 1952,88:85-139.

        [2] Auscher P, Tchamitchian P. Square Root Problem for Divergence Operators and Related Topics[M]. Astˊerisque: Spring-Verlag, 1998.

        [3] Hofmann S,MartellM J.Lpbounds for Riesz transforms and square roots associated to second order elliptic operator [J]. Pub. Math., 2003,47:497-515.

        [4]Duong X T,Mcintosh A.The Lpbonudedness of Riesz transform associated with divergence form operators operators [J]. Center for Math. and Appl. Australian National Univ., 1999,37:15-26.

        [5] Mcintosh A. Operators which have H∞-calculus, Miniconference on operators theory and partial differential equations[J]. Proc. Center Math. Analysis, ANU., Canberra, 1986,14:210-231.

        [6] Auscher P. On necessary and sufficient conditions for Lp estimates of Riesz transform associated to elliptic operators on and related estimates[J]. Mem. Amer. Math. Soc., 2007,186:871.

        [7] Fan Dashan, Lu Shanzhen, Yang Dachun. Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients[J]. Georgian. Math. J., 1998,5:425-440.

        [8] Fan Dashan, Lu Shanzhen, Yang Dachun. Boundedness of operators in Morrey spaces on homogenous spaces and its applications[J]. Acta. Math. Sinica. Suppl., 1998,14:625-634.

        [9] Lu Shanzhen, Xu Lifang. Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces[J]. Hokkaido Math. J., 2005,34(2):299-314.

        [10] Lu Shanzhen, Yang Dachun, Zhou Zusheng. Sublinear operators with rough kernel on genenalized Morrey space[J]. Hokkaido Math. J., 1998,27(1):219-232.

        [11] Lu Shanzhen, Tang Lin, Yang Dachun. Boundedness of commutators on homogeneous Herz spaces[J]. Sci. China. Ser. A., 1998,41(10):1023-1033

        [12] Auscher P, Martell M J. Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators[J]. Funct. Anal. J., 2006,241:703-746.

        [13] Stein E M. Singular Integrals and Differentiability Properties of Functions[M]. Princeton New Jersey: Princeton University Press, 1970.

        [14] Lu Shanzhen, Yang Dachun. The continuity of commutators on Herz-type Spaces[J]. Michigan Math., 1997, 44(2):255-280.

        Boundedness of generalized Riesz transform and its commutator on the homogeneous Morrey-Herz spaces

        Yang Minghua,Xu Ming,Yang Xiaozhuan

        (Department of Mathematics,Ji′nan University,Guangzhou 510632,China)

        In this paper,we study the generalized Riesz transform?L-1/2associated with divergence form elliptic operator and its commutator[b,?L-1/2]generated by generalized Riesz transform and BMO(Rn)functions.By them ethods of studying ring decom position of function and thier corresponding truncated operators, their boundedness of the results form space MKα,λp1,q(Rn)to space MKα,λp2,q(?n)were established.The well-known results gotten by before scholars are extended.

        ellip tic operator,commutator,homogeneous Morrey-Herz,Riesz transform,BMO(Rn)

        2011-09-17.

        國家自然科學(xué)基金(10771221);暨南大學(xué)青年自然科學(xué)基金(51208036).

        楊明華(1986-),碩士生,研究方向:調(diào)和分析.

        2010 MSC:42B25

        91社区视频在线观看| 日韩女优精品一区二区三区| 国内精品久久久久影院优| 久久亚洲色www成人欧美| 99热这里只有精品69| 亚洲av有码精品天堂| 很黄很色的女同视频一区二区| 亚洲人成无码区在线观看| 色欲麻豆国产福利精品| 亚洲AV永久无码精品表情包| 亚洲天堂av一区二区三区不卡 | 免费做爰猛烈吃奶摸视频在线观看| 91福利国产在线观看网站| 久久黄色精品内射胖女人| 美女网站免费观看视频| 日本精品人妻无码77777| 北岛玲中文字幕人妻系列| 美女丝袜诱惑在线播放蜜桃| 呦系列视频一区二区三区| 欧美日韩精品一区二区在线观看 | 男女真人后进式猛烈视频网站 | 国产激情无码Av毛片久久| 亚洲国产一区二区av| 久久久久久欧美精品se一二三四| 亚洲国产精品久久久久秋霞1| 亚洲AV秘 无码一区二区久久| 国产剧情av麻豆香蕉精品| 无码国产精品一区二区免费式直播| 欧美日韩国产成人高清视| 黄网站a毛片免费观看久久| 91久久精品国产综合另类专区| 九一精品少妇一区二区三区| 中文字幕在线观看| 国产a v无码专区亚洲av| 亚洲日产国无码| 国产日产在线视频一区| 极品新婚夜少妇真紧| 免费二级毛片在线播放| 亚洲国产精品日韩av专区| 亚洲精品久久久久avwww潮水| 美女在线国产|