Error estimates for approximation of translation invariant operators
David Shreve (1975)
Studia Mathematica
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David Shreve (1975)
Studia Mathematica
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Vijay Gupta (1995)
Publicacions Matemàtiques
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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Zbigniew Walczak (2005)
Mathematica Slovaca
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Margaret Murray (1987)
Studia Mathematica
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Guoen Hu, Dachun Yang (2000)
Studia Mathematica
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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
J. Michael Wilson (2003)
Publicacions Matemàtiques
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George Willis (1992)
Studia Mathematica
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It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.
Calixto Calderón (1979)
Studia Mathematica
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Loukas Grafakos (1992)
Revista Matemática Iberoamericana
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We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.