Grand generalized weighted Morrey spaces for RD-spaces
Grand Generalized Weighted Morrey Spaces for RD-spaces
Received:June 02, 2022  Revised:September 23, 2022
英文关键词:RD-space  Hardy-Littlewood maximal operator  $\theta$-type Calder\'{o}n-Zygmund operator  grand generalized weighted Morrey space
Author NameAffiliationAddress
Guanghui Lu Northwest Normal University Anning West Road 967
Hits: 106
Download times: 0
      Let $(X,d,\mu)$ be an RD-space satisfying both the doubling condition in the sense of Coifman and Weiss and the reverse doubling condition. In this setting, the author obtains the definition of grand generalized weighted Morrey space on $(X,d,\mu)$, and also investigates some properties of these spaces. As an application, the boundedness of the Hardy-Littlewood maximal operator and the $\theta$-type Calder\'{o}n-Zygmund operator on spaces $\mathcal{L}^{p),\varphi,\Phi}_{\omega}(X)$ is also obtained.
  View/Add Comment  Download reader