Campanato类型空间中的分数阶Orlicz-Sobolev嵌入

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-07-12 DOI:10.1016/j.nonrwa.2025.104455

Angela Alberico , Andrea Cianchi , Luboš Pick , Lenka Slavíková

引用次数: 0

摘要

给出了分数阶Orlicz-Sobolev空间在欧氏空间上嵌入（广义）Campanato空间的最优方法。嵌入到消失的康帕纳托空间也具有特征。作为特殊实例，导出了BMO（Rn）和VMO（Rn）的尖锐嵌入。指出了与经典分数Sobolev空间相应嵌入的不同之处。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractional Orlicz–Sobolev embeddings into Campanato type spaces

Optimal embeddings for fractional Orlicz–Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are also characterized. Sharp embeddings into

BMO (R^{n})

and

VMO (R^{n})

are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.