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SG pseudo-differential operators in Dunkl setting

  • Randhir Kumar Verma and Akhilesh Prasad EMAIL logo
Published/Copyright: November 14, 2024
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Abstract

This study explores the L p -boundedness and compactness characteristics of SG pseudo-differential operators within the Sobolev space framework. We analyze different attributes of minimal-maximal pseudo-differential operators using the SG symbol σ ( x , λ ) within the class S m 1 , m 2 , where m 1 and m 2 are real numbers. The investigation delves into various aspects of these operators, and we derive a weak solution for the SG pseudo-differential equation by employing the Dunkl transform as part of the aforementioned theoretical framework.

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Received: 2024-05-06
Accepted: 2024-06-28
Published Online: 2024-11-14
Published in Print: 2025-06-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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