Mitsuo Izuki, Kazuya Tachizawa
Abstract
We characterize the homogeneous weighted Herz space ˙ K α,p q (w1, w2) and the non-homogeneous weighted Herz space K α,p q (w1, w2) using wavelets in C 1 (R n ) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙ K α,p q (w1, w2) and in K α,p q (w1, w2) .
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We characterize the homogeneous weighted Herz space ˙ K α,p q (w1, w2) and the non-homogeneous weighted Herz space K α,p q (w1, w2) using wavelets in C 1 (R n ) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙ K α,p q (w1, w2) and in K α,p q (w1, w2) .
Key concepts: Wavelet, Mathematics, Homogeneous, Space (punctuation), Basis (linear algebra), Pure mathematics, Combinatorics, Computer science