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Elliptic boundary problems and the Boutet de Monvel calculus in Besov and Triebel--Lizorkin spaces. (arXiv:1704.08555v1 [math.AP])
来源于:arXiv
The Boutet de Monvel calculus of pseudo-differential boundary operators is
generalised to the full scales of Besov and Triebel--Lizorkin spaces (though
with finite integral exponents for the latter). The continuity and Fredholm
properties proved here extend those previously obtained by Franke and Grubb,
and the results on range complements of surjectively elliptic Green operators
improve the earlier known, even for the classical spaces with $1<p<\infty$. The
symbol classes treated are the uniformly estimated ones. Some precisions are
given for the general definitions of trace and singular Green operators of
class 0. 查看全文>>