Lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces
type: Item
instance of: scholarly article
title: Lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces
zbMATH Open document ID: 1472.42027
DOI: 10.1155/2014/174010
author: Jiang Zhou
author: Dinghuai Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from \(L^p \left(\mu\right)\) into the space \(L^{q, \infty} \left(\mu\right)\). Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 7021865
zbMATH Keywords: Lipschitz spaces on nonhomogeneous metric measure spaces
zbMATH Keywords: boundedness of the fractional operator in Lipschitz spaces
Wikidata QID: Q59035742
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/174010
OpenAlex ID: W2071700798
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description: scientific article; zbMATH DE number 7021865