Multiplication operators on weighted Banach spaces of analytic functions with exponential weights

• Autorzy: Bogalska K.
• Języki publikacji: EN

Abstrakty

EN

Let v be the weight on the disc and M[phi] be the pointwise multiplication operator, M[phi](f) = [phi]f, on the weighted Banach space of analytic functions H[...](D) on the disc with the sup-norms. We characterize when M[phi] : H[...] --> H[...] is an isomorphism into for weights tending exponentially to zero at the boundary. In particular, the result holds for v(z) = exp[...] or v(z) = exp [...] for any [delta] > 0.

Słowa kluczowe

EN

closed range; point approximative spectrum; pointwise multiplication operator; weighted Banach space of analytic functions

PL

teoria operatora

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 4
• Strony: 409--416
• Opis fizyczny: Bibliogr. 25 poz.,

Twórcy

autor

Bogalska K.

• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland,