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本文用算子函数论的方法,研究了解析算子函数的Banach空间X,X0上的复合算子.给出此复合算子为有界的条件,并刻划了此复合算子在X0上为紧的特征. 相似文献
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解析函数的Banach空间上之复合算子 总被引:2,自引:0,他引:2
本文研究了一类解析函数的Banach空间X上之复合算子,这类空间包含了Bloch空间,并且可看作Bergman空间L1a(D)中具有原子分解的解析函数的对偶空间.我们刻划了这类空间上紧复合算子及Fredholm复合算子的特征,此外,还研究了具有闭值域的复合算子. 相似文献
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西方给出了C^n中单位球上的带权的Bergman空间上具一般符号的Toeplitz算子和Hankel算子为紧的充要条件。 相似文献
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设p≥1,且A、B是Hilbert空间上两个正算子,T.Furuta给出若A≥B>0,那么对任意t∈[0,1]有,G(r,s)=A-r/2{Ar/2(A-t/2BpA-t/2)sAr/2}1-t+r/(p-t)+srA-r/2是关于r,s在r≥t及s≥1上单调递减的,我们给出该结果可以推广到多个算子的情形. 相似文献
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利用矩阵运算及算子的基本理论,讨论了由微分算式L_1=D~((2))+q_1(t)和L_2=D~((4))+q_2(t)其中(D=d/dx,t∈I=[a,b])生成的两个微分算子L_i(i=1,2)积L_1L_2的自伴性问题,并在常型情形下,获得了积算子自伴的充分必要条件. 相似文献
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§1IntroductionHardy-Littlewood maximal operator has wide applications in many fields,such asquasiconformal analysis,partial differential equations(PDEs)and harmonic analysis.LetΩbe an open subset of Rn,the Hardy-Littlewood maximal operator is defined on Ll1oc(Ω)by the ruleMh(x)=MΩh(x)=sup∫-B(x,t)h(y)dy:0相似文献
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The purpose of this paper is to study the multilinear Hardy operators in higher dimensional cases and establish the CBMO estimates for multilinear Hardy operators on some function spaces, such as the Lebesgue spaces, the Herz spaces and the Morrey-Herz spaces. 相似文献
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Lanzhe Liu 《Proceedings Mathematical Sciences》2004,114(3):235-251
In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue
spaces to Orlicz spaces are obtained. The operators include Calderón—Zygmund singular integral operator, fractional integral
operator, Littlewood—Paley operator and Marcinkiewicz operator. 相似文献
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Continuity is obtained of some multilinear operators related to certain integral operators for the weighted Herz spaces with extreme exponents. The operators include the Littlewood–Paley and Marcinkiewicz operators. 相似文献
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Boundedness on Triebel-Lizorkin and Lebesgue Spaces of Multilinear Singular Integral Operators Satisfying a Variant of Hörmander’s Condition 下载免费PDF全文
Dazhao Chen 《分析论及其应用》2022,38(3):322-334
The boundedness on Triebel-Lizorkin and Lebesgue spaces of the multilinear operators associated to some singular integral operators satisfying a variant of
Hörmander’s condition are obtained. 相似文献
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Aline Bonami Sandrine Grellier Mohammad Kacim 《Transactions of the American Mathematical Society》2008,360(3):1377-1390
We extend to multilinear Hankel operators the fact that some truncations of bounded Hankel operators are still bounded. We prove and use a continuity property of bilinear Hilbert transforms on products of Lipschitz spaces and Hardy spaces.
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Elena Cordero Kasso A. Okoudjou 《Journal of Mathematical Analysis and Applications》2007,325(2):1103-1116
In this paper we introduce a notion of multilinear localization operators. By reinterpreting these operators as multilinear Kohn-Nirenberg pseudodifferential operators, we give sufficient conditions for their boundedness on products of modulation spaces. Moreover, we prove that these conditions are also necessary for the boundedness of the operators. Finally, as application, we construct various examples of bounded multilinear pseudodifferential operators. 相似文献
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本文考虑多线性Fourier乘子算子在加权Lebesgue空间的乘积空间上的性质,利用多线性Fourier乘子算子的核估计以及多线性奇异积分算子的加权理论,建立多线性Fourier乘子算子的(关于多重Ap/r(R^mn)权函数以及关于一般权函数的)两个加权估计. 相似文献
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In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β on Lebesgue spaces are shown.By virtue of Marcinkiewicz interpolation,strong type estimates of these two operators on Lebesgue spaces are also obtained.Our methods shed some new light on dealing with the case of non-radial function Φ. 相似文献
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本文主要研究核满足弱正则条件的算子与BMO函数生成的多线性交换子.建立了多线性交换子在加权Lebesgue空间的一些性质. 相似文献
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In this paper, the authors study the multilinear operators with Dini Kernel and obtain their boundedness from Herz spaces to Herz-type Hardy spaces. Moreover, the authors also consider the corresponding fractional operators. 相似文献