Listar por tema "L-p-spaces"

Mostrando ítems 1-2 de 2

Projections and unconditional bases in direct sums of ℓp SPACES, 0<p≤∞

Albiac Alesanco, Fernando José ; Ansorena, José L. (Wiley, 2021) Artículo / Artikulua

We show that every unconditional basis in a finite direct sum ⊕p∈Aℓp , with A ⊂ (0,∞], splits into unconditional bases of each summand. This settles a 40 years old question raised in 'A. Ortyński, Unconditional bases in ...
Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series

Albiac Alesanco, Fernando José ; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. (European Mathematical Society, 2019) Artículo / Artikulua

We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we ...