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  • 1 Institute of Mathematics of the Academy of Sciences of the Czech Republic Žitná 25 115 67 Praha 1 Czech Republic
  • 2 Luleå University of Technology Department of Mathematics SE-971 87 Luleå Sweden
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Abstract  

We present an equivalence theorem, which includes all known characterizations of the class B p, i.e., the weight class of Ariño and Muckenhoupt, and also some new equivalent characterizations. We also give equivalent characterizations for the classes B p *, B * and RB p, and prove and apply a “gluing lemma” of independent interest.

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