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

Bogalska K.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 4

409-416

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.

The Voronovskaya type theorem for the Baskakov-Kantorovich operators

Bogalska K.

Fasciculi Mathematici

1999

Nr 30

5-13

In this paper we give the Voronovskaya type theorem for the Baskakov-Kantorovich operators in the polynomial weighted spaces. The Baskakov operators were studied in [l]. The Voronovskaya type theorem for some operators are given in [2], [3].