An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions

• Autorzy: Fuchs M.
• Języki publikacji: EN

Abstrakty

EN

Let f : B →C denote a Sobolev function of class W1p defined on the unit disc. We show that the distance of f to the class of all holomorphic functions measured in the norm of the space W1p(B;C) is bounded by the Lp-norm of theWirtinger derivative ∂-zf. As a consequence we obtain a Korn type inequality for vector fields B →R2.

Słowa kluczowe

EN

Sobolev spaces; holomorphic functions; Korn type inequalities

PL

przestrzenie Soboleva; funkcje holomorficzne; nierówność Korna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2011
• Tom: Vol. 17, nr 1
• Strony: 131--135
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Fuchs M.

• FR Mathematik, Universitat des Saarlandes, Postfach 15 11 50, 66041 Saarbrucken, Germany,

Bibliografia

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