坎帕纳托和莫雷类型空间的高阶索波列夫嵌入

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-11-05 DOI:10.1016/j.na.2024.113678

Paola Cavaliere , Andrea Cianchi , Luboš Pick , Lenka Slavíková

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引用次数: 0

摘要

为建立在重排不变空间上的索波列夫类型空间连续嵌入到 n 维欧几里得空间开放子集上的（广义）坎帕纳托和莫雷空间提供了必要和充分条件。因此，相关嵌入中的最佳目标空间和域空间得以确定。我们的一般标准可用于推导奥尔利茨-索博廖夫空间类中的尖锐嵌入。

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Higher-order Sobolev embeddings into spaces of Campanato and Morrey type

Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized) Campanato and Morrey spaces on open subsets of the

n

-dimensional Euclidean space. As a consequence, the optimal target and domain spaces in the relevant embeddings are identified. Our general criteria are implemented to derive sharp embeddings in the class of Orlicz-Sobolev spaces.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.