New constructions of functions holomorphic in the unit ball of C [italic superscript n]

New constructions of functions holomorphic in the unit ball of C [italic superscript n]
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C 单位球中全纯函数的新构造[斜体上标 n]

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发表时间:
1986
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通讯作者:
W. Rudin
W. Rudin
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文献类型:
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作者:
W. Rudin

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内函数的病理$RW$-序列由$E$-多项式逼近$E$-函数在Smirnov类中的存在性径向极限和奇异测度$E$-函数几乎半连续函数和$ ilde{A}(B)$ $ bbbbu +vf|$ $在$L^{1/2}$中的逼近$L^1$-修正定理由内函数逼近$H^ inty $最大集的LSC性质和非逼近定理内映射$A(B)$在满测度复合开集上连续性的lusin型定理$A(B)$在$(LH)^p(B)$开放问题中的闭包。附录一。$H^2(B)$附录二中的有界基。rw序列重新访问了引用。
The pathology of inner functions $RW$-sequences Approximation by $E$-polynomials The existence of inner functions Radial limits and singular measures $E$-functions in the Smirnov class Almost semicontinuous functions and $ ilde{A}(B)$ $|u+vf|$ Approximation in $L^{1/2}$ The $L^1$-modification theorem Approximation by inner functions The LSC property of $H^infty$ Max-sets and nonapproximation theorems Inner maps A Lusin-type theorem for $A(B)$ Continuity on open sets of full measure Composition with inner functions The closure of $A(B)$ in $(LH)^p(B)$ Open problems Appendix I. Bounded bases in $H^2(B)$ Appendix II. RW-sequences revisited References.