RT Journal Article
T1 Some techniques on nonlinear analysis and applications
A1 Pellegrino, Daniel
A1 Santos, Joedson
A1 Seoane Sepúlveda, Juan Benigno
AB In this paper we present two different results in the context of nonlinear analysis. The first one is essentially a nonlinear technique that, in view of its strong generality, may be useful in different practical problems. The second result, more technical, but also connected to the first one, is an extension of the well known Pietsch Domination Theorem. The last decade witnessed the birth of different families of Pietsch Domination-type results and some attempts of unification. Our result, that we call "full general Pietsch Domination Theorem" is potentially a definitive Pietsch Domination Theorem which unifies the previous versions and delimits what can be proved in this line. The connections to the recent notion of weighted summability are traced.
PB Elsvier
SN 0001-8708
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/42563
UL https://hdl.handle.net/20.500.14352/42563
LA eng
NO CNPq
NO Spanish Ministry of Science and Innovation
DS Docta Complutense
RD 17 abr 2025