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Diagonal multilinear operators on Köthe sequence spaces
(Taylor & Francis Ltd, 2019-02)
We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply ...
Diagonal extendible multilinear operators between Lp-spaces
(Real Acad Ciencias Exactas Fisicas & Naturales, 2014-09)
We study extendibility of diagonal multilinear operators from Lp to Lq spaces. We determine the values of p and q for which every diagonal n-linear operator is extendible, and those for which the only extendible ones are ...
Extrapolation for multilinear Muckenhoupt classes and applications
(Elsevier Science, 2020-10-28)
In this paper we solve a long standing problem about the multivariable Rubio de Francia extrapolation theorem for the multilinear Muckenhoupt classes , which were extensively studied by Lerner et al. and which are the ...
Extensões ideais de classes de operadores multilineares e polinômios homogêneos entre espaços de BanachIdeal extensions of classes of multilinear operators and homogeneous polynomials between Banach spaces
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2018)
Weighted mixed weak-type inequalities for multilinear operators
(Polish Academy of Sciences. Institute of Mathematics, 2018-05)
In this paper we present a theorem that generalizes Sawyer’s classic result about mixed weighted inequalities to the multilinear context. Let ~w = (w1, ..., wm) and ν = w 1 m 1 ...w 1 mm , the main result of the paper ...
Multilinear Marcinkiewicz-Zygmund inequalities
(Birkhauser Boston Inc, 2017-09-12)
We extend to the multilinear setting classical inequalities of Marcinkiewicz and Zygmund on (Formula presented.)-valued extensions of linear operators. We show that for certain (Formula presented.), there is a constant ...
Hypercyclic bilinear operators on Banach spaces
(Academic Press Inc Elsevier Science, 2020-05-01)
We study the dynamics induced by an m-linear operator. We answer a question of Bès and Conejero showing an example of an m-linear hypercyclic operator acting on a Banach space. Moreover, we prove the existence of m-linear ...
End-point estimates for iterated commutators of multilinear singular integrals
(Wiley, 2013-09)
Iterated commutators of multilinear Calderón-Zygmund operators and pointwise multiplication with functions in BMO are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, ...
QUASI s-NUMBERS AND MEASURES OF NON-COMPACTNESS OF MULTILINEAR OPERATORS
(Suomalainen TiedeakatemiaHelsinkiFinlândia, 2013)
Ideais algebricos de aplicações multilineares e polinômios homogêneosAlgebraic ideals of multilinear mappings and homogeneous polynomials
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)