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Extension maps in ultradifferentiable and ultraholomorphic function spaces

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Schmets J., Valdivia M.

Studia Mathematica

2000

tom 143

nr 3

221-250

The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for $C^{∞}$-spaces. We get a Ritt type improvement, i.e. from 0 to sectors of the Riemann surface of the function log for spaces of ultraholomorphic functions, by first establishing a generalization to some nonclassical ultradifferentiable function spaces.

Ograniczanie wyników

1 Studia Mathematica

1 Schmets J.

1 Valdivia M.

1 2000

Wyniki wyszukiwania

Extension maps in ultradifferentiable and ultraholomorphic function spaces