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<p>This paper has two main objectives. First, we introduce new embeddings of global generalized Herz spaces with variable exponent. Secondly, we use these results to show the boundedness of fractional-type integral operators in these spaces, which includes, such as Riesz potential, fractional maximal operators and fractional operators with rough kernel.</p>

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Boundedness of fractional-type integral operators on global generalized Herz spaces with variable exponent

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Hamza Brahim Boulares

摘要

This paper has two main objectives. First, we introduce new embeddings of global generalized Herz spaces with variable exponent. Secondly, we use these results to show the boundedness of fractional-type integral operators in these spaces, which includes, such as Riesz potential, fractional maximal operators and fractional operators with rough kernel.