The N-Widths of Hardy-Sobolev Spaces of Several Complex Variables
نویسندگان
چکیده
منابع مشابه
n - Widths of Sobolev Spaces in L p
Let W~ r) = {f:fecr-J[O, l ] , f (rl) abs. cont., Ilftr)IIp < oo}, and set B~) = {f: f~ ~ ' ) , I[/~r)llp ~ 1}. We find the exact Kolmogorov, Gerfand, linear, and Bernstein n-widths of B~p r) in L p for all pE(l, oo). For the Kolmogorov n-width we show that for n _> r there exists an optimal subspace of splines of degree r 1 with n r fixed simple knots depending on p,
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Let Sβ := {z ∈ C : |Imz| < β} be a strip in complex plane. H̃r ∞,β denotes those 2π-periodic, real-valued functions on R which are analytic in the strip Sβ and satisfy the condition |f (r)(z)| ≤ 1, z ∈ Sβ . Osipenko and Wilderotter obtained the exact values of the Kolmogorov, linear, Gel′fand, and information n-widths of H̃r ∞,β in L∞[0, 2π], r = 0, 1, 2, . . ., and 2n-widths of H̃r ∞,β in Lq [0, ...
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D’Angelo, John P. Inequalities from complex analysis. (English summary) 2003e:32001 Fritzsche, Klaus (with Grauert, Hans) From holomorphic functions to complex manifolds. (English summary) 2003g:32001 Grauert, Hans see Fritzsche, Klaus, 2003g:32001 (Nakamura, Shu Gilbert) see Ohsawa, Takeo, 2003d:32001 Ohsawa, Takeo Analysis of several complex variables. (English summary) 2003d:32001 Range, R. ...
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Hardy-Sobolev spaces and interpolation N. Badr Institut Camille Jordan Université Claude Bernard Lyon 1 UMR du CNRS 5208 F-69622 Villeurbanne Cedex [email protected] F. Bernicot Laboratoire de Mathématiques Université de Paris-Sud UMR du CNRS 8628 F-91405 Orsay Cedex [email protected] October 19, 2010 Abstract The purpose of this work is to describe an abstract theory of Ha...
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on the associated Bergman tree Tn. Combined with recent results about interpolating sequences this leads, for this range of σ, to a characterization of universal interpolating sequences for B 2 and also for its multiplier algebra. However, the tree condition is not necessary for a measure to be a Carleson measure for the Drury-Arveson Hardy space H n = B 1/2 2 . We show that μ is a Carleson mea...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1993
ISSN: 0021-9045
DOI: 10.1006/jath.1993.1098