Banach lattices with the Fatou property and optimal domains of kernel operators

By G. Curbera, W. Ricker. 2006

52 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/ca65f23404ef5ae8074fb94618b0711c26015277

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Olvido Delgado
2. Javier Soria

In Mathematical Physics

1. Olvido Delgado
2. Javier Soria

Citations in the corpus

• Optimal domain for the Hardy operator (2006, background): “class of BFIL. Similar assertions hold for operators T defined by a positive kernel K (i.e., Tf(x) = R∞ 0 f(y)K(x,y)dy) such that T|f| = 0 a.e. implies f = 0 a.e. This general case has been studied in [3, 4], for Kdefined on [0,1] × [0,1], where the authors show that the optimal domain [T,X] for T, is”