Commutators of Hardy operators in vanishing Morrey spaces

Publikation: Forskning - peer-reviewArtikel i konferenspublikation/proceedings

Lars-Erik Persson ; Maria Alessandra Ragusa ; Natasha Samko ; Peter Wall

  • University of Catania
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.
SpråkEngelska
Titel9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences : ICNPAA 2012
RedaktörerSeenith Sivasundaram
Sidantal8
UtgivningsortMelville, NY
UtgivareAmerican Institute of Physics
Publiceringsdatum2012
Sidor859-866
ISBN (print)978-0-7354-1105-0
DOI-länkar
StatusPublicerat

Konferens

KonferensInternational Conference on Mathematical Problems in Engineering, Aerospace and Sciences
Nummer9
LandÖsterrike
OrtWien
Period10/07/1214/07/12
Internetadresshttp://icnpaa.com/index.php/icnpaa/2012
NamnA I P Conference Proceedings Series
Nummer1493
ISBN (Print)0094-243X

Evenemang (konferens etc.)

International Conference on Mathematical Problems in Engineering, Aerospace and Sciences

jul. 10 2012 - jul. 14 2012

Wien, Österrike

Evenemang (konferens etc.): Konferens