62 citations · 390 across the 53 of their papers we have counts for
5 papers · 1 filter
Interpolation of derivatives and ultradifferentiable regularity
Armin Rainer, Gerhard Schindl
Interpolation inequalities for functions allow to bound derivatives of intermediate order by bounds for the derivatives of order and . We review various inte…
Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type defined in terms of a weight matrix.…
On the regularization of sequences and associated weight functions
Gerhard Schindl
We revisit and generalize the geometric procedure of regularizing a sequence of real numbers with respect to a so-called regularizing function. This approach was studied by S. Mand…
Ultradifferentiable classes of entire functions
David Nicolas Nenning, Gerhard Schindl
We study classes of ultradifferentiable functions defined in terms of small weight sequences violating standard growth and regularity requirements. First, we show that such classes…
On Orlicz classes defined in terms of associated weight functions
Gerhard Schindl
N-functions and their growth and regularity properties are crucial in order to introduce and study Orlicz classes and Orlicz spaces. We consider N-functions which are given in term…