Interpolation theory for the HK-Fourier transform

DOI10.33044/revuma.1911zbMath1487.42008OpenAlexW3211949539MaRDI QIDQ5029672

Alfredo Reyes, Juan H. Arredondo

Publication date: 14 February 2022

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33044/revuma.1911

zbMATH Keywords

integral transformsFourier analysisinterpolation theorygeneralized integration

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation between normed linear spaces (46B70) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

• On pointwise inversion of the Fourier transform of \(\mathrm{BV}_0\) functions
• Convolutions with the continuous primitive integral
• Functional analysis, Sobolev spaces and partial differential equations
• On the Alexiewicz topology of the Denjoy space
• Henstock-Kurzweil Fourier transforms
• On the norm continuity of the HK-Fourier transform
• Integrability spaces for the Fourier transform of a function of bounded variation
• Complexifications of real spaces: General aspects
• Inequalities in Fourier Analysis on R ⁿ
• On the convolution theorem for the Fourier transform of BV_0 functions
• Interpolation Theory
• A Remark on the Hausdorff-Young Inequality
• Intermediate spaces and interpolation, the complex method
• Analytic operations in real Banach spaces
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