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be represented in the form of a finite sum of commutators of projections in this algebra. A new commutation

We give necessary and sufficient conditions for the boundedness of the maximal commutators Mb

We obtain new necessary and sufficient commutation conditions for projections in terms of operator

of fractional maximal operator Mα and the fractional maximal commutators Mb,α in Orlicz LΦ(X) and generalized

of commutators of fractional maximal operator on Orlicz spaces. The main advance in comparison with the existing

differential between local workers and cross-border commuters at the low end of the pay scale. This article

of commutators associated with the fractional maximal operator, Riesz potential and Calderón–Zygmund operator

of the Marcinkiewicz integral operators μjL and their commutators [b,μjL] with b∈ BMOθ(ρ) on generalized Morrey spaces

). As an application of these results, we consider the boundedness of the commutators of Riesz potential operator [ b

We present a non-commutative extension of the classical Yosida-Hewitt decomposition of a finitely

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