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On the existence and boundedness of square function operators on Campanato spaces
Abstract Let g(f) be a Littlewood-Paley square function of f , which belongs to Campanato spaces . We prove that if g(f)(x 0 ) exists (i.e. g(f)(x 0 ) < ∞) for a single point x 0 ∈ R n , then g(f)(x) exists almost everywhere in R n and …