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<p>In this paper, we define and study the Sobolev–Gevrey spaces associated with the Weinstein operator <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Delta _{W}^{\alpha ,d}\)</EquationSource> </InlineEquation>, and we investigate their properties. Next, with the help of the Weinstein transform, we introduce a class of symbols and their associated pseudo-differential operators.</p>

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Pseudo-differential operators & Weinstein–Gevrey spaces

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Mohamed Moktar Chaffar,
  • Hassen Ben Mohamed

摘要

In this paper, we define and study the Sobolev–Gevrey spaces associated with the Weinstein operator \(\Delta _{W}^{\alpha ,d}\) , and we investigate their properties. Next, with the help of the Weinstein transform, we introduce a class of symbols and their associated pseudo-differential operators.