Inclusion relations for the spaces \(L(\mathbb R), \mathcal {HK}(\mathbb R) \cap \mathcal{BV}(\mathbb R)\), and \(L^{2}(\mathbb R)\)

DOI10.1134/S1061920809020113zbMath1190.46029OpenAlexW2465026728MaRDI QIDQ1033849

Francisco Javier Mendoza Torres, Salvador Sánchez-Perales, Juan Alberto Escamilla Reyna

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920809020113

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Functions of bounded variation, generalizations (26A45)

Cites Work

• Henstock-Kurzweil Fourier transforms
• Some results about the Henstock-Kurzweil Fourier transform
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