(A) characterization of carleson measures for the bergman spaces on the ball = 단위구상의 bergman 공간들에 대한 carleson 측도

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A characterization of Carleson measures for the Bergman spaces on the ball Let E($w,r$) denote the pseudo-hyperbolic disc of the unit disc D of the complex plane C. It is known that if $0 < r <1,\; 1 \le p< \infty$ and $\mu$ is a positive finite Borel measure on D, then the following two quantities are equivalent: \begin{eqnarray*}(i)& & \sup \{\int_D \mid f \mid^p d\mu/ \parallel f \parallel^p_{A^p} : f \in A^p(D),\; f \not\equiv 0 \}\\ (ii)& & \sup \{\mu(E(w,r))/m(E(w,r)) : w \in D \} \end{eqnarray*}\\ Where $A^p$(D) denotes the Bergman space on D and m denotes the area measure on D. In this thesis, we extend this result to the unit ball of C$^n$.
Advisors
Choe, Boo-Rimresearcher최부림researcher
Description
한국과학기술원 : 응용수학과,
Publisher
한국과학기술원
Issue Date
1990
Identifier
67138/325007 / 000881313
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 응용수학과, 1990.2, [ [ii], 16, [2] p. ; ]

URI
http://hdl.handle.net/10203/42335
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=67138&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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