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<p>Boundedness results of the composition of two pseudo-differential operators involving the Weinstein transform in Weinstein Sobolev space <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41478_2025_958_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal {H}^{0,1}_{\alpha }\)</EquationSource> </InlineEquation> are investigated by utilizing the theory of Weinstein transform. Some special cases are discussed regarding the composition of two pseudo-differential operators and the estimation of the solution of the heat equation is done by taking the Weinstein transform theory.</p>

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Composition of pseudo-differential operators involving the Weinstein transform

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • S. K. Upadhyay,
  • Mohd Sartaj

摘要

Boundedness results of the composition of two pseudo-differential operators involving the Weinstein transform in Weinstein Sobolev space \(\mathcal {H}^{0,1}_{\alpha }\) are investigated by utilizing the theory of Weinstein transform. Some special cases are discussed regarding the composition of two pseudo-differential operators and the estimation of the solution of the heat equation is done by taking the Weinstein transform theory.