Results 71 to 80 of about 7,160,171 (246)
The Steklov spectrum of spherical cylinders
Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source
Approximative Compactness in Orlicz Spaces
Some criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are ...
Hudzik, Henryk, Wang, Baoxiang
core +1 more source
We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
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Multiplicativity Factors for Orlicz Space Function Norms
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard +2 more
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Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm [PDF]
summary:We characterize the uniform non-squareness and the property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz ...
Boulahia, Fatiha, Morsli, Mohamed
core +1 more source
We first define the notion of lacunary statistical convergence of order , and taking this notion into consideration, we introduce some seminormed difference sequence spaces over -normed spaces with the help of Musielak-Orlicz function of order .
S. Mohiuddine +2 more
semanticscholar +1 more source
Fourier Multiplier Theorems on Variable Exponent Lebesgue–Bochner Spaces and Applications
We establish the Mikhlin‐type Fourier multiplier theorems on variable exponent Lebesgue–Bochner spaces using the Fourier multiplier theorems on weighted Lebesgue–Bochner spaces and the transform results of bounded operators from weighted spaces to variable exponent spaces.
Yuchen Zhong, Calogero Vetro
wiley +1 more source
Contractive projections in Orlicz sequence spaces
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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A Notion of Orlicz Spaces for Vector Valued Functions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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