Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces
Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors prove that Marcinkiewicz integral with kernel...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/318797 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558154917871616 |
|---|---|
| author | Ji Cheng Guanghui Lu |
| author_facet | Ji Cheng Guanghui Lu |
| author_sort | Ji Cheng |
| collection | DOAJ |
| description | Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense
of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors prove that Marcinkiewicz
integral with kernel satisfying certain stronger Hörmander-type condition is bounded on RBMOμ space. |
| format | Article |
| id | doaj-art-1abe43c2df9943cea6094f2b0a28d17c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1abe43c2df9943cea6094f2b0a28d17c2025-02-03T01:32:59ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/318797318797Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure SpacesJi Cheng0Guanghui Lu1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaLet X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors prove that Marcinkiewicz integral with kernel satisfying certain stronger Hörmander-type condition is bounded on RBMOμ space.http://dx.doi.org/10.1155/2015/318797 |
| spellingShingle | Ji Cheng Guanghui Lu Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces Journal of Mathematics |
| title | Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces |
| title_full | Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces |
| title_fullStr | Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces |
| title_full_unstemmed | Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces |
| title_short | Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces |
| title_sort | boundedness of marcinkiewicz integrals on rbmo spaces over nonhomogeneous metric measure spaces |
| url | http://dx.doi.org/10.1155/2015/318797 |
| work_keys_str_mv | AT jicheng boundednessofmarcinkiewiczintegralsonrbmospacesovernonhomogeneousmetricmeasurespaces AT guanghuilu boundednessofmarcinkiewiczintegralsonrbmospacesovernonhomogeneousmetricmeasurespaces |