张子梅. 带有Besov正则性的双线性乘子定理[J]. 内江师范学院学报, 2024, 39(4): 39-44. DOI: 10.13603/j.cnki.51-1621/z.2024.04.007
    引用本文: 张子梅. 带有Besov正则性的双线性乘子定理[J]. 内江师范学院学报, 2024, 39(4): 39-44. DOI: 10.13603/j.cnki.51-1621/z.2024.04.007
    ZHANG Zimei. Bilinear multiplier theorem with Besov regularity[J]. Journal of Neijiang Normal University, 2024, 39(4): 39-44. DOI: 10.13603/j.cnki.51-1621/z.2024.04.007
    Citation: ZHANG Zimei. Bilinear multiplier theorem with Besov regularity[J]. Journal of Neijiang Normal University, 2024, 39(4): 39-44. DOI: 10.13603/j.cnki.51-1621/z.2024.04.007

    带有Besov正则性的双线性乘子定理

    Bilinear multiplier theorem with Besov regularity

    • 摘要: 为了研究具有Besov正则性的傅里叶双线性乘子定理,采用将乘子算子离散成单参数的二进制仿积算子以及弱对偶的方法,得到具有Besov正则性傅里叶双线性乘子算子的有界性,延拓了Tomita和Fujita在乘子算子有界性中的结论.

       

      Abstract: This article aims to study the Fourier bilinear multiplier theorem with Besov regularity. The method of discretizing the multiplier operator into a single parameter binary convolution operator and weak duality is adopted. We obtain the boundedness of Fourier bilinear multiplier operators with Besov regularity, which extends the conclusion of Tomita and Fujita in reference.

       

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