Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions |
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Authors: | Alexander V Abanin Pham Trong Tien |
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Institution: | a Southern Institute of Mathematics, Markus st. 22, Vladikavkaz 362027, Russia b Southern Federal University, Milchakov st. 8a, Rostov-on-Don 344090, Russia |
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Abstract: | As it is known, Roumieu-Komatsu theory of ultradistributions is strictly larger than Beurling-Björck one and that the latter theory is established by the class of all subadditive weight functions. In its own turn, Roumieu-Komatsu theory is equivalent to Braun-Meise-Taylor one which is given by the class of all weight functions. We prove that the class of all almost subadditive weight functions forms Braun-Meise-Taylor theory of ultradistributions. |
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Keywords: | Ultradistributions Ultradifferentiable functions Weight functions |
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