英和和英

名詞

coorbit (複数形 coorbits)

1. (mathematics, physics) The dual of an orbit
   • 2016, Felix Voigtlaender, “Embeddings of Decomposition Spaces into Sobolev and BV Spaces”, in arXiv‎^[1]:

     As special cases, this includes embeddings into Sobolev spaces of (homogeneous かつ inhomogeneous) Besov spaces, (${\displaystyle \alpha }$)-modulation spaces, shearlet smoothness spaces and also of a large class of wavelet coorbit spaces, in particular of shearlet-type coorbit spaces. Precisely, we will show that under extremely mild assumptions on the covering ${\displaystyle {\mathcal {Q}}=\left(Q_{i}\right)_{i\in I}}$, we have ${\displaystyle {\mathcal {D}}\left({\mathcal {Q}},L^{p},Y\right)\hookrightarrow W^{k,q}(\mathbb {R} ^{d})}$ as soon as ${\displaystyle p\leq q}$ and ${\displaystyle Y\hookrightarrow \ell _{u^{\left(k,p,q\right)}}^{q^{\triangledown }}\left(I\right)}$ hold.