Shear anisotropic Inhomogeneous Besov Spaces in ℝd

We define distribution spaces in ℝd via lq(Lp) norms of a sequence of convolutions of with smooth functions, the shearlet system. Then, we define associated sequence spaces and prove characterization with the shearlet coefficients. We also prove continuous embeddings between some shear anisotropic inhomogeneous spaces and between classical (dyadic isotropic) inhomogeneous spaces and shear anisotropic inhomogeneous spaces.

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