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Izvestiya: Mathematics, 1998
For \(p_1, p_2\in [1, \infty] \) the asymmetric norm of a real-valued measurable function \(f\) on \([-\pi, \pi]\) is defined by \(\|f \|_{p_1,p_2}=\|f^{+}\|_{p_1} + \|f^{-}\|_{p_2}\), where \(f^{+}(t)=\max \{0; f(t)\}\) and \(f^{-}(t)=\max \{0; -f(t)\}\).
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For \(p_1, p_2\in [1, \infty] \) the asymmetric norm of a real-valued measurable function \(f\) on \([-\pi, \pi]\) is defined by \(\|f \|_{p_1,p_2}=\|f^{+}\|_{p_1} + \|f^{-}\|_{p_2}\), where \(f^{+}(t)=\max \{0; f(t)\}\) and \(f^{-}(t)=\max \{0; -f(t)\}\).
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Separation axioms and covering dimension of asymmetric normed spaces
Quaestiones Mathematicae, 2020Natalia Jonard-Pérez
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Contractive inequalities for mixed norm spaces and the Beta function
Journal of Mathematical Analysis and Applications, 2022Adrian Llinares, Dragan Vukotić
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Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications
Mathematische Nachrichten, 2023Vakhtang Kokilashvili +1 more
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A characterization of the inclusions between mixed norm spaces
Journal of Mathematical Analysis and Applications, 2015Irina Arévalo
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Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
Journal of Functional Analysis, 2008Miroljub Jevtic, Dragan Vukotić
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Mixed norm spaces and rearrangement invariant estimates
Journal of Mathematical Analysis and Applications, 2014Nadia Clavero, Javier Soria
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Local compactness in right bounded asymmetric normed spaces
Quaestiones Mathematicae, 2018Natalia Jonard-Pérez +1 more
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