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26 p, 1.5 MB Approximation par fonctions holomorphes dans les espaces Lp, Lip α et BMO / Boivin, André (University of Western Ontario. Department of Mathematics) ; Verdera, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Vitushkin-type theorems on the approximation by holomorphic functions in the complex plane are established. More precisely, let F be a closed (or measurable) subset of the complex plane and let B be any one of the following spaces of functions defined on F:Lp(F), 1 < p <∞, Lipα(F), 0 <α <1, BMO(F), or Cm(F). [...]
1991 - 10.1512/iumj.1991.40.40021
Indiana University mathematics journal, Vol. 40, No. 2 (1991) , p. 393-418  

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