"New challenges in extended Gevrey regularity"Tomic, FilipWe deal with different type of spaces of ultadifferentiable functions that covers the gap between union of Gevrey spaces and $C^{\infty}(U)$. In the previous work author with his collaborators introduced and investigated spaces of extended Gevrey functions whose derivatives are controlled by the two-parameter sequences $p^{\tau p^{\sigma}}$, $\tau>0$, $\sigma>1$. Here we generalize that idea by imposing general conditions on two parameter sequences $M^{\tau,\sigma}_p$. We present some examples, and boundary values results for the corresponding spaces of ultradistributions. We also discuss microlocal point of view. |
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