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dc.contributor.authorCruz-Uribe, David
dc.date.accessioned2014-09-17T09:54:21Z
dc.date.available2014-09-17T09:54:21Z
dc.date.created2014-09-17
dc.date.issued2014-09-17
dc.identifier.urihttp://hdl.handle.net/10630/8046
dc.description.abstractIn this course we will survey recent work on two weight norm inequalities for the fractional integral operator and its commutator with BMO functions. We are interested in finding sufficient (and necessary and sufficient) conditions on pairs of weights (u,σ) for the weak and strong-type inequalities. Recently, using the machinery developed to prove the A2 conjecture, there has been a great deal of progress in this area. We will first survey the history of this problem, starting with the work of Sawyer on testing conditions for pairs of weights (u,σ). We will then discuss the so-called Ap,q bump conditions. These conditions, which generalize the Muckenhoupt Ap weights, were introduced by Pérez in the 1990's and are closely related to the recently disproved Muckenhoupt-Wheeden conjectures. Throughout our talks we will discuss the parallels with recent work on singular integrals.es_ES
dc.description.sponsorshipUniversidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. Unicaja Banco, Departamento de Análisis Matemático de la UMA, Grupos de investigación de la Junta de Andalucía, Real Sociedad Matemática Española.es_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectOperadores integraleses_ES
dc.subject.otherTwo weight inequalitieses_ES
dc.subject.otherFractional integralses_ES
dc.subject.otherCommutatorses_ES
dc.titleTwo weight norm inequalities for fractional integrals and commutatorses_ES
dc.typeinfo:eu-repo/semantics/conferenceObjectes_ES
dc.centroFacultad de Cienciases_ES
dc.relation.eventtitleVI International Course of Mathematical Analysis in Andalucíaes_ES
dc.relation.eventplaceAntequeraes_ES
dc.relation.eventdate8/9/2014es_ES


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