Projections on Bergman Spaces Over Plane Domains
1979 ◽
Vol 31
(6)
◽
pp. 1269-1280
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Keyword(s):
Let D be a bounded plane domain and let Lp(D) stand for the usual Lebesgue spaces of functions with domain D, relative to the area Lebesque measure dσ(z) = dxdy. The class of all holomorphic functions in D will be denoted by H(D) and we write Bp(D) = Lp(D) ∩ H(D). Bp(D) is called the Bergman p-space and its norm is given byLet be the Bergman kernel of D and consider the Bergman projection(1.1)It is well known that P is not bounded on Lp(D), p = 1, ∞, and moreover, it can be shown that there are no bounded projections of L∞(Δ) onto B∞(Δ).
1980 ◽
Vol 32
(4)
◽
pp. 979-986
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1986 ◽
Vol 29
(1)
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pp. 125-131
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Keyword(s):
1982 ◽
Vol 34
(4)
◽
pp. 910-915
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1982 ◽
Vol 2
(2)
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pp. 139-158
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Keyword(s):
1962 ◽
Vol 14
◽
pp. 334-348
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2014 ◽
Vol 90
(1)
◽
pp. 77-89
◽
1979 ◽
Vol 31
(1)
◽
pp. 9-16
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Keyword(s):