A class of commutators for multilinear fractional integrals in nonhomogeneous spaces.
A note on a class of Banach algebra-valued polynomials.
A rearrangement estimate for the generalized multilinear fractional integrals.
An alternative polynomial Daugavet property
We introduce a weaker version of the polynomial Daugavet property: a Banach space X has the alternative polynomial Daugavet property (APDP) if every weakly compact polynomial P: X → X satisfies . We study the stability of the APDP by c₀-, - and ℓ₁-sums of Banach spaces. As a consequence, we obtain examples of Banach spaces with the APDP, namely and C(K,X), where X has the APDP.