2012/11/03 by Daniel Vera, Vera, Daniel
Mathematics · #42B35 #42C40 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42B25 #Secondary 46E35 #math.FA #msc:42B25 #msc:42B35 #msc:42C40 #msc:46E35
paper · pdf · doi:10.48550/arxiv.1211.0642
36 pages. arXiv admin note: substantial text overlap with arXiv:1203.5136
arxiv created 2012/11/03 · arxiv updated 2012/11/06
We define distribution spaces of a sequence of convolutions of a set of distributions with smooth functions, the shearlet system. Then, we define associated sequence spaces and prove characterizations. We also show a reproducing identity in the class of distributions. Finally, we prove Sobolev-type embeddings within the shear anisotropic inhomogeneous spaces and embeddings between (classical dyadic) isotropic inhomogeneous spaces and shear anisotropic inhomogeneous spaces.