Integrality properties of Böttcher coordinates for one-dimensional superattracting germs
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DOI: 10.1017/etds.2018.41
Abstract: Let $R$ be a ring of characteristic $0$ with field of fractions $K$ and let $m\geq 2$ . The Böttcher coordinate of a power series $\unicode[STIX]{x1D711}(x)\in x^{m}+x^{m+1}R\unicode[STIX]{x27E6}x\unicode[STIX]{x27E7}$ is the unique power series $f_{\unicode[STIX]{x1D711}}(x)\in x+x^{2}K\unicode[STIX]{x27E6}x\unicode[STIX]{x27E7}$ satisfying… read more here.
Keywords: stix x1d711; unicode stix; x1d711 unicode; unicode ... See more keywords
COMPACT WEIGHTED COMPOSITION OPERATORS ON $H^{p}$ -SPACES
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DOI: 10.1017/s0004972719000200
Abstract: Let $u$ and $\unicode[STIX]{x1D711}$ be two analytic functions on the unit disc $D$ such that $\unicode[STIX]{x1D711}(D)\subset D$ . A weighted composition operator $uC_{\unicode[STIX]{x1D711}}$ induced by $u$ and $\unicode[STIX]{x1D711}$ is defined by $uC_{\unicode[STIX]{x1D711}}f:=u\cdot f\circ \unicode[STIX]{x1D711}$ for… read more here.
Keywords: weighted composition; stix x1d711; unicode stix;
Composite quasianalytic functions
Sign Up to like & getrecommendations! Published in 2018 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007339
Abstract: We prove two main results on Denjoy–Carleman classes: (1) a composite function theorem which asserts that a function $f(x)$ in a quasianalytic Denjoy–Carleman class ${\mathcal{Q}}_{M}$ , which is formally composite with a generically submersive mapping… read more here.
Keywords: class mathcal; unicode stix; stix x1d711;