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math.FA2016★ 22 cited
Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
This is a contribution to the theory of Lizorkin--Triebel spaces having mixed Lebesgue norms and quasi-homogeneous smoothness. We discuss their characterisation in terms of general…
math.FA2016★ 54 cited
Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
A. G. Georgiadis, J. Johnsen, M. Nielsen
Homogeneous mixed-norm Triebel--Lizorkin spaces are introduced and studied with the use of a discrete wavelet transformation, the so-called -transform. This extends the classica…