Pointwise bounded approximation by polynomials
1992 ◽
Vol 112
(1)
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pp. 147-155
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Keyword(s):
Open Set
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For a bounded open set U ⊂ ℂ, we denote by H∞(U) the collection of all bounded analytic functions on U. We let X denote bdy (U), the boundary of U, Y denote the polynomial hull of U (the complement of the unbounded component of ℂ / X), and U* denote mt (Y), the interior of Y. We denote the sup norm of a function f: A → ℂ by ∥f∥A:We denote the space of all analytic polynomials by ℂ[z], and we denote the open unit disc by D and the unit circle by S1.
2010 ◽
Vol 53
(2)
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pp. 353-371
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Keyword(s):
1957 ◽
Vol 9
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pp. 426-434
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Keyword(s):
1995 ◽
Vol 117
(3)
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pp. 513-523
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Keyword(s):
1970 ◽
Vol 11
(3)
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pp. 276-280
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1988 ◽
Vol 31
(4)
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pp. 404-408
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Keyword(s):
1985 ◽
Vol 37
(1)
◽
pp. 62-74
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1971 ◽
Vol 23
(2)
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pp. 257-269
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