The binding of 125I-lipoprotein (a) [Lp(a)] to cell surface receptors was studied on cultured human fibroblasts. The results were compared with corresponding data obtained with 125I-low density lipoproteins (LDL). Equilibrium binding studies showed that Lp(a) is bound with high affinity by the cell surface receptors. The maximum binding capacity for Lp(a) was 37% lower than for LDL. For Lp(a) a...

Given two Banach spaces X and Y , we write L(X, Y ) for the space of all continuous linear operators from X to Y . A linear subspace J of L(X, Y ) is said to be an ideal if ATB ∈ J whenever A ∈ L(Y ), T ∈ J , and B ∈ L(X). It is known (see, e.g., Caradus:74 [CPY74]) that the only norm closed ideal in L(lp), 1 6 p < ∞ is the ideal of compact operators. The structure of closed ideals in L(lp ⊕ lq...

We show that a suitable weak solution to the incompressible Navier–Stokes equations on R3×(?1,1) is regular R3×(?1,0] if ?3u belongs M2p/(2p?3),?((?1,0);Lp(R3)) for any ?>1 and p?(3/2,?), which logarithmic-type variation of Morrey space in time. For each this is, up logarithm, critical with respect scaling equations, contains all spaces Lq((?1,0);Lp(R3)) are subcritical, 2/q+3/p<2.

Note that ‖f‖Lp(X) may take the value ∞. Definition 1.2. The space L(X) is the set L(X) = {f : X → R | ‖f‖Lp(X) <∞} . The space L(X) satisfies the following vector space properties: (1) For each α ∈ R, if f ∈ L(X) then αf ∈ L(X); (2) If f, g ∈ L(X), then |f + g| ≤ 2p−1(|f | + |g|) , so that f + g ∈ L(X). (3) The triangle inequality is valid if p ≥ 1. The most interesting cases are p = 1, 2,∞, w...

We consider linear boundary value problems for higher-order parameter-elliptic equations, where the data do not belong to classical trace spaces. employ a class of Sobolev spaces mixed smoothness that admits generalized with values in Besov negative order. prove unique solvability rough half-space and sufficiently smooth domains. As an application, we show operator related linearized Cahn–Hilli...

This paper aims to reveal the relationship between the minimum L2-sensitivity of state-space digital filters and the Gramian-preserving frequency transformation. To this end, we first give a prototype low-pass state-space filter in such a manner that its structure becomes the minimum L2-sensitivity structure. Then we apply the Gramian-preserving (LP-LP) frequency transformation with a tunable p...

In this paper, it is proved that the weak convergence of Lp Gaussian surface area measures implies corresponding convex bodies in Hausdorff metric for p ≥ 1. Moreover, continuity solution to Minkowski problem with respect obtained.

For a collection E of dyadic intervals, a Banach space X, and p ∈ (1, 2] we assume the upper lp estimates