Scholarlink

Finally, we introduce weighted Riesz bounded variation spaces defined on an open subset of n-dimensional Euclidean space and use them to characterize weighted Sobolev spaces when the weight belongs to the Muckenhoupt class. As an application, using Rubio de Francia’s extrapolation theory, a similar characterization of the variable exponent Sobolev spaces via variable exponent Riesz bounded variation spaces is obtained.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Bounded Variation Spaces and Related Topics

  • 章节

  • 发表日期：

    2025年

查看全文
  • Alexander Meskhi,
  • Humberto Rafeiro,
  • Stefan Samko

摘要

Finally, we introduce weighted Riesz bounded variation spaces defined on an open subset of n-dimensional Euclidean space and use them to characterize weighted Sobolev spaces when the weight belongs to the Muckenhoupt class. As an application, using Rubio de Francia’s extrapolation theory, a similar characterization of the variable exponent Sobolev spaces via variable exponent Riesz bounded variation spaces is obtained.