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The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces

100%

Kuczumow T., Michalska M.

Banach Center Publications

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2007

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tom 77

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nr 1

175-181

EN

In this note we derive a theorem about the common fixed point set of commuting nonexpansive mappings defined in Cartesian products of separable spaces. The proof is based on a method due to R. E. Bruck.

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Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball

81%

Michalska M., Nowak M., Sobolewski P.

Annales Polonici Mathematici

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2010

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tom 99

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nr 1

45-53

EN

We prove a sufficient condition for products of Toeplitz operators $T_fT_{ḡ}$, where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators $H_fH*_g$ is also given.

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Mobius invariant Besov spaces on the unit ball of $\mathbb{C}^n$

81%

Michalska M., Nowak M., Sobolewski P.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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2011

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tom 65

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nr 2

EN

We give new characterizations of the analytic Besov spaces $B_p$ on the unit ball $\mathbb{B}$ of $\mathbb{C}^n$ in terms of oscillations and integral means over some Euclidian balls contained in $\mathbb{B}$.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Banach Center Publications

3 Michalska M.

2 Nowak M.

2 Sobolewski P.

1 Kuczumow T.

1 2011

1 2010

1 2007

The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces

Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball

Mobius invariant Besov spaces on the unit ball of \(\mathbb{C}^n\)