Commutators of Hardy operators in vanishing Morrey spaces

Validerad; 2012; 20121122 (ysko)
In this paper we study boundedness of commutators of the multi-dimensional Hardy type operators with BMO coefficients, in weighted global and/or local generalized Morrey spaces LΠp,φ(Rn,w) and vanishing local Morrey spaces VLlocp,φ(Rn,w) defined by an almost increasing function φ(r) and radial type weight w(∣x∣). This study is made in the perspective of posterior applications of the weighted results to some problems in the theory of PDE. We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, and also in terms of the Matuszewska-Orlicz indices of φ and w, for such a boundedness.

Ragusa, Maria AlessandraUniversity of Catania (author)
Samko, NatashaLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)natsam (author)
Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall (author)
Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)

In:9th International Conference on Mathematical Problems in Engineering, Aerospace and SciencesMelville, NY : American Institute of Physics (AIP), s. 859-8669780735411050

By the author/editor: Persson, Lars-Er ...; Ragusa, Maria Al ...; Samko, Natasha; Wall, Peter

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Mathematical Ana ...

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