AI Article Synopsis
- The study explores the relationships between global classes within a weight matrix framework, focusing on how growth relations of weight matrices affect inclusion relations.
- The researchers analyze both Roumieu and Beurling cases, and also examine classical weight functions and sequences as specific examples.
- They create a new oscillating weight sequence that aligns with critical conditions and derive comparison results between classes formed by weight functions and those formed by weight sequences.
Article Abstract
We study and characterize the inclusion relations of global classes in the general weight matrix framework in terms of growth relations for the defining weight matrices. We consider the Roumieu and Beurling cases, and as a particular case, we also treat the classical weight function and weight sequence cases. Moreover, we construct a weight sequence which is oscillating around any weight sequence which satisfies some minimal conditions and, in particular, around the critical weight sequence , related with the non-triviality of the classes. Finally, we also obtain comparison results both on classes defined by weight functions that can be defined by weight sequences and conversely.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11231022 | PMC |
| http://dx.doi.org/10.1007/s00009-024-02694-1 | DOI Listing |
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