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.