نتایج جستجو برای: lp space
تعداد نتایج: 508668 فیلتر نتایج به سال:
In this paper we study the L-convergence of the Riesz means S R(f) for the sublaplacian on the sphere S in the complex n-dimensional space C. We show that S R(f) converges to f in L (S) when δ > δ(p) := (2n− 1)| 2 − 1 p |. The index δ(p) improves the one found by Alexopoulos and Lohoué [AL], 2n| 1 2 − 1 p |, and it coincides with the one found by Mauceri [Ma] and, with different methods, by Mül...
Let Lm,p(Rn) be the homogeneous Sobolev space for p?(n,?), ? a Borel regular measure on Rn, and Lm,p(Rn)+Lp(d?) of measurable functions with finite seminorm ?f?Lm,p(Rn)+Lp(d?):=inff1+f2=f?{?f1?Lm,p(Rn)p+?Rn|f2|pd?}1/p. We construct linear operator T:Lm,p(Rn)+Lp(d?)?Lm,p(Rn), that nearly optimally decomposes every function in sum space: ?Tf?Lm,p(Rn)p+?Rn|Tf?f|pd??C?f?Lm,p(Rn)+Lp(d?)p C dependent...
Characterizations of the BMO and Lipschitz Spaces via Commutators on Weak Lebesgue and Morrey Spaces
We prove that the weak Morrey space WM is contained in $$M_{{q_1}}^p$$ for 1 ≤ q1 < q p ∞. As applications, we show if commutator [b, T] bounded from Lp to Lp,∞ some ∈ (1, ∞), then b BMO, where T a Calderón-Zygmund operator. Also, ∞, BMO and only [6, M . For belonging Lipschitz class, obtain similar results.
In the following paper, we provide a stochastic analogue to work of Shea and Wainger by showing that when the measure and state-independent diffusion coefficient of a linear Itô–Volterra equation are in appropriate Lp– weighted spaces, the solution lies in a weighted Lp–space in both an almost sure and moment sense.
Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.
We study the problem of hierarchical clustering on planar graphs. We formulate this in terms of an LP relaxation of ultrametric rounding. To solve this LP efficiently we introduce a dual cutting plane scheme that uses minimum cost perfect matching as a subroutine in order to efficiently explore the space of planar partitions. We apply our algorithm to the problem of hierarchical image segmentat...
We study the lattice finite representability of the Bochner space Lp(μ1, Lq(μ2)) in `p{`q}, 1 ≤ p, q < ∞, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L∞(μ) and Lp(μ1, Lq(μ2)).
For a complete measure space (X,Σ,μ), we give conditions which force Lp(X,μ), for 1 ≤ p < ∞, to be isometrically isomorphic to p(Γ) for some index set Γ which depends only on (X,μ). Also, we give some new characterizations which yield the inclusion Lp(X,μ)⊂ Lq(X,μ) for 0<p < q.
A modification of the geometric algorithm for solving multiparametric linear programs (mp-LP) is presented. The modification preserves the simplicity of the algorithm and ensures that the optimal, piecewise affine, mapping from parameter to solution space is continuous. When the mp-LP has non-unique solutions, the optimizer with the least Euclidian norm is selected. Copyright c © IFAC 2005
In this study will be characterized a matrix that maps the space of Orlicz sequence to bounded and convergence sequence. This is carried out by generalized mapping on lp space, 1<=p<\infty, space. results establishes necessary sufficient conditions for
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