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Weighted inequalities and vector-valued Calderón-Zygmund operators on non-homogeneous spaces

Weighted inequalities and vector-valued Calderón-Zygmund operators on non-homogeneous spaces

Tolsa) have extended the classical theory of Calderón-Zygmund operators to the context of a "non-homogeneous" space (X, d, µ), where, in particular, the measure µ may be non-doubling.In the present work we study weighted inequalities for these operators.Specifically, for 1 < p < ∞, we identify sufficient conditions for the …