As special cases, this includes embeddings into Sobolev spaces of (homogeneous and inhomogeneous) Besov spaces, (#92;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 #92;mathcal#123;Q#125;#61;#92;left(Q#95;#123;i#125;#92;right)#95;#123;i#92;inI#125;, we have #92;mathcal#123;D#125;#92;left(#92;mathcal#123;Q#125;,L#123;p#125;,Y#92;right)#92;hookrightarrowW#123;k,q#125;(#92;mathbb#123;R#125;#123;d#125;) as soon as p#92;leqq and Y#92;hookrightarrow#92;ell#95;#123;u#123;#92;left(k,p,q#92;right)
Source: wiktionary