Boundedness in $$L_p$$ spaces for the Hartley-Fourier convolutions operator and their applications
نویسندگان
چکیده
The paper deals with $$L_p$$ -boundedness of the Hartley-Fourier convolutions operator and their applied aspects. We establish various new Young-type inequalities obtain structure a normed ring in Banach space when equipping it such convolutional multiplication. Weighted -norm these are also considered. As applications, we investigate solvability bounded $$L_1$$ -solution class Fredholm-type integral equations linear Barbashin’s help factorization identities convolutions. Several examples provided to illustrate obtained results ensure validity applicability.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06422-0