A class of the Newtonian HK-Sobolev spaces on metric measure spaces

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发表日期：

2024年4月6日

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H. M. Srivastava,
Parthapratim Saha,
Bipan Hazarika

摘要

In this article, the authors present a systematic study of a class of the Newtonian HK-Sobolev spaces on metric measure spaces. Several Sobolev-type embeddings are discussed in the context of the Newtonian HK-Sobolev spaces. As an application, the boundedness of the fractional maximal operator on the Newtonian HK-Sobolev spaces is also investigated.