Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
Weighted TriebelāLizorkin and Besov spaces on the unit ball Bd in ād with weights wĪ¼(x)=(1ā|x|2)Ī¼ā1/2, Ī¼ā©¾0, are introduced and explored. A decomposition scheme is developed in terms of almost exponentially localized polynomial elements (needlets) {ĻĪ¾}, {ĻĪ¾} and it is shown that the membership of a distribution to the weighted TriebelāLizorkin ā¦