It is proved that for every orthonormal complete system in L[1](0, 1) there exists a set A, of measure arbitrarily close to 1, which carries no nonzero function with Fourier transform in lp> for every p <2
Colzani, L. (1981). Existence of sets of uniqueness of lp for general orthonormal systems. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 83(3), 569-572 [10.1090/S0002-9939-1981-0627694-8].
Existence of sets of uniqueness of lp for general orthonormal systems
Colzani, L
1981
Abstract
It is proved that for every orthonormal complete system in L[1](0, 1) there exists a set A, of measure arbitrarily close to 1, which carries no nonzero function with Fourier transform in lp> for every p <2
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
