Results 171 to 180 of about 692,591 (225)

Representations of weak and strong integrals in banach spaces. [PDF]

Proc Natl Acad Sci U S A, 1969
Brooks JK.
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ON A "MONOTONICITY" METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES. [PDF]

Proc Natl Acad Sci U S A, 1963
Minty GJ.
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Convolutions of vector fields and interpolation. [PDF]

Proc Natl Acad Sci U S A, 1967
Rao MM.
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BEST APPROXIMATORS WITHIN A LINEAR FAMILY ON AN INTERVAL. [PDF]

Proc Natl Acad Sci U S A, 1960
Walsh JL, Motzkin TS.
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Orlicz-Pettis topologies in function spaces

, 1979
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Orlicz Spaces and Rearranged Maximal Functions

Mathematische Nachrichten, 1987
Given a Young function \(\Phi\) on [0,\(\infty)\), the authors define the \(\Phi\)-mean of the decreasing rearrangement \(f^*\) of some measurable function f by \[ f_{\Phi}^{**}(t)=\inf \{\lambda:\lambda >0,\int^{t}_{0}\Phi (f^*(s)/\lambda)ds\leq t\}; \] if \(\Phi\) is the identity, one gets the usual average rearrangement \(f^{**}\) of f [see e.g ...
Bagby, Richard J., Parsons, John D.
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Distance Functions and Orlicz-Sobolev Spaces

Canadian Journal of Mathematics, 1986
Let ∧ be a bounded, non-empty, open subset of Rn and given any x in Rn, letlet k ∊ N and suppose that p ∞ (1, ∞). It is known (c.f. e.g. [4]) that if u belongs to the Sobolev space WKp(∧) and u/dk ∊ Lp(∧), then . Further results in this direction are given in [5] and [9].
Edmunds, D. E., Edmunds, R. M.
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M‐constants in Orlicz–Lorentz function spaces

Mathematische Nachrichten, 2019
AbstractIn this paper some lower and upper estimates of M‐constants for Orlicz–Lorentz function spaces for both, the Luxemburg and the Amemiya norms, are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted, this investigations concern the most possible wide class of Orlicz–Lorentz function spaces.
Cui, Yunan, Foralewski, Paweł, Hudzik, Henryk   +2 more
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Quasiconvex variational functionals in Orlicz–Sobolev spaces

Annali di Matematica Pura ed Applicata, 2011
The paper deals with integral functionals of the form \[ J(u)= \int_\Omega f(\nabla u)\,dx, \] where \(\Omega\) is a domain in \(\mathbb{R}^n\), \(u: \Omega\to\mathbb{R}^N\), and \(f: \mathbb{R}^{nN}\to \mathbb{R}\) is a nonnegative \(C^2\) function.
D. BREIT, VERDE, ANNA
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-convexity of Orlicz–Bochner function spaces endowed with the Orlicz norm

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang   +2 more
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