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arXiv · 1805.09685

Sectorial extensions for ultraholomorphic classes defined by weight functions

Javier Jiménez-Garrido·Javier Sanz·Gerhard Schindl
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Abstract

We prove an extension theorem for ultraholomorphic classes defined by so-called Braun-Meise-Taylor weight functions and transfer the proofs from the single weight sequence case from V. Thilliez [28] to the weight function setting. We are following a different approach than the results obtained in [11], more precisely we are working with real methods by applying the ultradifferentiable Whitney-extension theorem. We are treating both the Roumieu and the Beurling case, the latter one is obtained by a reduction from the Roumieu case.

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Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl. 2018-05-24. Sectorial extensions for ultraholomorphic classes defined by weight functions. https://arxiv.org/abs/1805.09685

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