On the extension of Lipschitz-Hölder maps on spaces
Lynn Williams, J. Wells, T. Hayden (1971)
Studia Mathematica
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Lynn Williams, J. Wells, T. Hayden (1971)
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Johanis, Michal (2003)
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2000 Mathematics Subject Classification: 46B03 We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping. Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.
Alf Jonsson (1980)
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Z. Ciesielski (1968)
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Roberto Macías, Carlos Segovia (1979)
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Frank Mantlik (1991)
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Siddiqi, Rafat N. (1979)
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Alberto Bressan (1993)
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Olkha, G.S., Rathie, P.N. (1970)
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C. Onneweer, Su Weiyi (1989)
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Geraldo Soares de Souza, Richard O'Neil, Gary Sampson (1986)
Revista Matemática Iberoamericana
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The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as H-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of H-spaces is what we call the real atomic characterization of these spaces.