NAGIOS: RODERIC FUNCIONANDO

On Functions of Integrable Mean Oscillation

Repositori DSpace/Manakin

dc.contributor.author	Blasco de la Cruz, Óscar
dc.contributor.author	Pérez, María Amparo
dc.date.accessioned	2010-05-04T07:53:48Z
dc.date.available	2010-05-04T07:53:48Z
dc.date.issued	2005
dc.identifier.citation	BLASCO, Oscar; PÉREZ, M. Amparo. On Functions of Integrable Mean Oscillation. En: Revista Matemática Complutense, 2005, vol. 18, no. 2, p. 465–477	en
dc.identifier.uri	http://hdl.handle.net/10550/2354
dc.description.abstract	Given f 2 L1(T) we denote by wmo(f) the modulus of mean oscillation given by wmo(f)(t) = sup 0<\|I\| t 1 \|I\| Z I \|f(ei ) − mI (f)\| d 2 where I is an arc of T, \|I\| stands for the normalized length of I, and mI (f) = 1 \|I\| R I f(ei ) d 2 . Similarly we denote by who(f) the modulus of harmonic oscillation given by who(f)(t) = sup 1−t \|z\|<1 Z T \|f(ei ) − P(f)(z)\|Pz(ei ) d 2 where Pz(ei ) and P(f) stand for the Poisson kernel and the Poisson integral of f respectively. It is shown that, for each 0 < p < 1, there exists Cp > 0 such that Z 1 0 [wmo(f)(t)]p dt t Z 1 0 [who(f)(t)]p dt t Cp Z 1 0 [wmo(f)(t)]p dt t.	en_US
dc.language.iso	en	en
dc.subject	BMO; Módulos de continuidad	en
dc.subject	Mean oscillation; BMO; Modulus of continuity	en
dc.title	On Functions of Integrable Mean Oscillation	en
dc.type	journal article	es_ES
dc.subject.unesco	UNESCO::MATEMÁTICAS	en
dc.type.hasVersion	VoR	es_ES
dc.identifier.url	http://revistas.ucm.es/mat/11391138/articulos/REMA0505220465A.PDF	en