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Parabolic Equations in Orlicz Spaces
Journal of the London Mathematical Society, 2005The authors deal with the following problem: \[ u_t+A(u)=f(x,t), \quad (x,t)\in\Omega\times(0,T), \] \[ u(x,t)=0, \quad (x,t)\in \partial\Omega\times(0,T), \] \[ u(x,0)=u_0(x), \quad x\in\Omega, \] where \(A(u)=-{\text{div}}(a(x,t,u,\nabla u))+a_0(x,t,u,\nabla u)\) and \(\Omega\) is a bounded open set in \({\mathbb R}^n\).
Elmahi, A., Meskine, D.
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Canadian Mathematical Bulletin, 1990
AbstractW. Deeb, R. Khalil and M. Marzuq have studied some properties of H(ϕ), the Hardy-Orlicz spaces. They introduced the functions class Np (0 < p ≦ 1 ) and discussed some properties of Np. In the present short note we prove that Np = N+ for 0 < p ≦ 1. We also give a condition of H(ϕ) = H(ψ).
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AbstractW. Deeb, R. Khalil and M. Marzuq have studied some properties of H(ϕ), the Hardy-Orlicz spaces. They introduced the functions class Np (0 < p ≦ 1 ) and discussed some properties of Np. In the present short note we prove that Np = N+ for 0 < p ≦ 1. We also give a condition of H(ϕ) = H(ψ).
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Interpolation of weighted Orlicz spaces
Applied Mathematics and Computation, 2003Given \(\overline X=(X_0, X_1)\) a compatible couple of quasi-Banach spaces, \textit{J.~Gustavsson} and \textit{J.~Peetre} [Stud. Math. 60, 33-59 (1977; Zbl 0353.46019)] defined the interpolation functor \(\langle\overline X\rangle_\rho\), where \(\rho\) is a pseudo-concave function.
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1976
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624194.pdf: 3782416 bytes, checksum: cb6ba9419a448177bca5cc2c31ac9dd0 (MD5) Previous issue date: 1976 ; Embargo set by: Seth Robbins for item 68295 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624194.pdf: 3782416 bytes, checksum: cb6ba9419a448177bca5cc2c31ac9dd0 (MD5) Previous issue date: 1976 ; Embargo set by: Seth Robbins for item 68295 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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Conjugate Spaces of Orlicz Spaces
Indagationes Mathematicae (Proceedings), 1956Luxemburg, W. A. J., Zaanen, A. C.
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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Springer Monographs in Mathematics, 2021Agnieszka Świerczewska-Gwiazda +1 more
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Henstock–Orlicz Space and Its Dense Space
Asian-European Journal of Mathematics, 2021Bipan Hazarika, Hemanta Kalita
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