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The boundedness of bilinear pseudodifferential operators in Triebel-Lizorkin and Besov spaces with variable exponents

Yin Liu|Lushun Wang
대한수학회 (The Korean Mathematical Society)|2024.03|대한수학회보 (Bulletin of the KMS)|제61권 제2호|pp. 529-540|DOI 10.4134/BKMS.b230224

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참고문헌

키워드

Besov spacesvariable exponentBilinear pseudodifferential operatorsTriebel-Lizorkin spaces
주제분류수학

초록

In this paper, using the Fourier transform, inverse Fourier transform and Littlewood-Paley decomposition technique, we prove the boundedness of bilinear pseudodifferential operators with symbols in the bilinear H\"{o}rmander class $BS_{1,1}^m$ in variable Triebel-Lizorkin spaces and variable Besov spaces.

Abstract

In this paper, using the Fourier transform, inverse Fourier transform and Littlewood-Paley decomposition technique, we prove the boundedness of bilinear pseudodifferential operators with symbols in the bilinear H\"{o}rmander class $BS_{1,1}^m$ in variable Triebel-Lizorkin spaces and variable Besov spaces.

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