holds for every t > 0, where Φ(t) = t(1 + log t), with 1/r = ∑m i=1 1/ri. We also consider ope... more holds for every t > 0, where Φ(t) = t(1 + log t), with 1/r = ∑m i=1 1/ri. We also consider operators of convolution type with kernels satisfying less regularity properties than CZO. In this setting, we give a Coifman type inequality for the associated commutators with multilinear symbol. This result allows us to deduce the L(w)-boundedness of these operators when 1 < p < ∞ and w ∈ Ap. As a consequence, we can obtain the desired mixed inequality in this context.
holds for every t > 0, where Φ(t) = t(1 + log t), with 1/r = ∑m i=1 1/ri. We also consider ope... more holds for every t > 0, where Φ(t) = t(1 + log t), with 1/r = ∑m i=1 1/ri. We also consider operators of convolution type with kernels satisfying less regularity properties than CZO. In this setting, we give a Coifman type inequality for the associated commutators with multilinear symbol. This result allows us to deduce the L(w)-boundedness of these operators when 1 < p < ∞ and w ∈ Ap. As a consequence, we can obtain the desired mixed inequality in this context.
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Papers by M. Carena