Abstract
In this note we give an explicit formula for the Moore-Penrose inverse $W^{\dag}$ of a weighted composition operator $W$ on $L^2(\Sigma)$ and then we obtain the stability constant $K_W$ of $W$ on $L^p(\Sigma)$, where $1\leq p\leq \infty$. Moreover, we determine, under certain conditions, the essential norm of $W$ acting on $L^\infty(\Sigma)$.
Citation
M. R. Jabbarzadeh. M. Jafari Bakhshkandi. "Stability constants for weighted composition operators on $L^p(\Sigma)$." Bull. Belg. Math. Soc. Simon Stevin 24 (2) 271 - 281, april 2017. https://doi.org/10.36045/bbms/1503453710
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