End‐point estimates for iterated commutators of multilinear singular integrals

By C. P'erez, G. Pradolini, Rodolfo H. Torres, Rodrigo Trujillo-González. 2010

137 citations recorded by the source corpus.

Iterated commutators of multilinear Calderón–Zygmund operators and pointwise multiplication with functions in bounded mean oscillation are studied in products of Lebesgue spaces. Both strong type and weak end‐point estimates are obtained, including weighted results involving the vectors weights of the multilinear Calderón–Zygmund theory recently introduced in the literature. Some better than expected estimates for certain multilinear operators are presented too.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c582781e2a2e33354af61736903a7575f3a5c7bc

Citations in the corpus

• Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications (2019, unknown): “We now introduce some notation for convenience as in [22].”
• Compact Bilinear Operators and Commutators (2013, unknown): “By the results in [12], [17], [9], and [11], these operators map L × L → L with 1/p+ 1/q = 1/r for all 1 < p, q < ∞, with estimates of the form (1) ‖[T, b]1(f, g)‖Lr , ‖[T, b]2(f, g)‖Lr ‖b‖BMO‖f‖Lp‖g‖Lq ,”