Indices of O-regular variation for weight functions and weight sequences

DOI10.1007/s13398-019-00724-2zbMath1436.46029arXiv1806.01605OpenAlexW3101956166MaRDI QIDQ2331729

Javier Sanz, Gerhard Schindl, Javier Jiménez-Garrido

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01605

zbMATH Keywords

Matuszewska indicesLegendre conjugatesO-regular variationweight functions and weight sequences

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (18)

Equality of ultradifferentiable classes by means of indices of mixed O-regular variation ⋮ On subadditivity-like conditions for associated weight functions ⋮ Functions with ultradifferentiable powers ⋮ Solutions of linear systems of moment differential equations via generalized matrix exponentials ⋮ Sectorial extensions for ultraholomorphic classes defined by weight functions ⋮ Ultradifferentiable classes of entire functions ⋮ On generalized definitions of ultradifferentiable classes ⋮ Ultraholomorphic extension theorems in the mixed setting ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ Unnamed Item ⋮ Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions ⋮ Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences ⋮ Ultraholomorphic sectorial extensions of Beurling type ⋮ On the extension of Whitney ultrajets of Beurling type ⋮ The Borel-Ritt problem in Beurling ultraholomorphic classes ⋮ The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces ⋮ On the construction of large algebras not contained in the image of the Borel map ⋮ Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces

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