Harmonic Analysis and Applications

June 4-8, 2018


"Inhomogeneous shearlet coorbit spaces"

Sawatzki, Lukas

We establish inhomogeneous coorbit spaces related to the continuous shearlet transform and weighted Lebesgue spaces Lp,v. For the wavelet setting, inhomogeneous coorbit spaces have been obtained by Fornasier, Rauhut and Ullrich. Our construction is based on a generalization of this approach to the shearlet case. Furthermore, we present an atomic-like decomposition for these spaces which allows us to derive some properties. A major difficulty in our work is the integrability of the corresponding kernel function.

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