31 citations · 155 across the 89 of their papers we have counts for
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On Pietsch measures for summing operators and dominated polynomials
Geraldo Botelho, Daniel Pellegrino, Pilar Rueda
We relate the injectivity of the canonical map from to , where is a regular Borel probability measure on the closed unit ball of the dual of a…
A simple proof that the power in the Bohnenblust--Hille inequalities is sharp
Daniel Nuñez-Alarcón, Daniel Pellegrino
The power in the polynomial (and multilinear) Bohnenblust--Hille inequality is optimal. This result is well-known but its proof highly nontrivial. In this note we…
There exist multilinear Bohnenblust-Hille constants with
Daniel Nunez-Alarcon, Daniel Pellegrino, Juan Seoane-Sepulveda +1
The -linear Bohnenblust-Hille inequality asserts that there is a constant such that the -norm of $(U(e_{i_{^{1}}},...,e_{i_{n}}…
On the growth of the optimal constants of the multilinear Bohnenblust--Hille inequality
Daniel Nuñez-Alarcón, Daniel Pellegrino
Let be the optimal constants satisfying the multilinear (real or complex) Bohnenblust--Hille inequality. The exact values of the constants are stil…
When is the Haar measure a Pietsch measure for nonlinear mappings?
G. Botelho, D. Pellegrino, P. Rueda +2
We show that, as in the linear case, the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings on closed translation invari…
Sharp coincidences for absolutely summing multilinear operators
Daniel Pellegrino
In this note we prove the optimality of a family of known coincidence theorems for absolutely summing multilinear operators. We connect our results with the theory of multiple summ…