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<p>In this paper, we study weighted Besov spaces <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \mathcal {B}^\omega _p \)</EquationSource> </InlineEquation>. By using Hardy inequalities, we derive significant weighted inequalities. Namely, we establish a Douglas-type formula for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \mathcal {B}^\omega _p \)</EquationSource> </InlineEquation> and identify an equivalent norm that depends only on the modulus of the function.</p>

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Douglas-type formula for weighted Besov spaces

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • H. Bahajji-El Idrissi,
  • O. El-Fallah

摘要

In this paper, we study weighted Besov spaces \( \mathcal {B}^\omega _p \) . By using Hardy inequalities, we derive significant weighted inequalities. Namely, we establish a Douglas-type formula for \( \mathcal {B}^\omega _p \) and identify an equivalent norm that depends only on the modulus of the function.