In this article we construct orthonormal bases compatible with bi-variate homogeneous α-modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable α-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. We show that the associated systems form an unconditional bases for the homogeneous α-spaces of Triebel-Lizorkin type.
|Number of pages||16|
|Publication status||Published - 27 Nov 2020|