carleson 中文意思是什麼

carleson 解釋
卡爾森
  1. We study the relation of carleson measure and toeplitz operator on bergman space of bounded symmetry domians, and give a charactering of a composition operator, also give a charactering of bounded and compact weighted composition operator

    研究了有界對稱域上bergman空間的carleson測度與toeplitz運算元的關系。研究了有界對稱域上bergman空間上復合運算元的一個特性。給出了加權復合運算元的有界性及緊性的刻畫。
  2. In the second chapter we study the properties of the weighted dirichlet - type spaces and composition operators on them. we not only characterize these spaces by taylor series, but also give sufficient and necessary conditions in terms of carleson measure for the boundedness and compactness of composition operator. moreover, we apply the comparability propositions which induced from above sufficient and necessary conditions to discuss the relationships between the compactness of composition operator cv and angular derivative or innerness of the inducing function, and so on

    本文討論了一類函數空間相互的包含關系，而對其中的加權dirichlet型空間，不但給出了空間的相互包含關系，並且對它進行了級數刻畫；利用carleson測度，刻畫了加權dirichlet型空間上復合運算元的有界性及緊性，並利用由此得到的比較性命題討論了復合運算元的緊性與角導數，內函數等的關系。
  3. In the second chapter, we use the tools of carleson measure, charactering toeplitz opeartor and compositon operator on bergman space of bounded symmetric domains

    在第二章，本文利用carleson測度這一工具，刻劃了有界對稱域上bergman空間上toeplitz運算元，復合運算元的性質。
  4. In the fourth chapter, we use reproducing kernel and carleson measure charactering pointwise multipliers between the hardy space and bergman space, bergman space and bergman space on the unit ball

    在第四章中，我們利用再生核與carleson測度工具刻畫了單位球上hardy空間到bergman空間，以及bergman空間到bergman空間的點乘子。
  5. In the third chapter, we use the tool of carleson measure, charactering the bounded and compact of weighted composition operator on bergman space on strongly pseudoconvex domains, these results generalized the results of g. mirzakarimi and k. seddighi

    在第三章，利用carleson測度這一工具，刻劃了有界強擬凸域上bergman空間上加權復合運算元的有界性及緊性。推廣了g . mirzakarimi與k . seddighi在單位圓盤上加權bergman空間上獲得的結論。
  6. In the six chapter, we use the methods of reproducing kernel and carleson measure charactering the pointwise multipliers on the hardy space, bergman space on the polydiscs, we also obtain a necessary condition for a composition operator to be a compact operator, and a addition result on the range of composition operator on the hardy space

    在第六章中，我們利用再生核與carleson測度刻畫了多圓hardy空間到bergman空間，以及bergman空間到bergman空間的點乘子，得到hardy空間與bergman空間上復合運算元為緊的一個必要條件，以及在hardy空間上關于復合運算元值域的一個結果
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