Abstract
This paper studies directional Holder regularity of two-variable functions by their shearlet coefficients, where the shearlets are defined by Guo and Labate (2013). We provide necessary conditions for a function possessing some directional Holder regularity and the corresponding sufficient conditions, motivated by the work of Sampo and Sumetkijakan (2009) and Lakhonchai et al. (2010).
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