A many-parameter interpolation functor and the lorentz space $$L_{p\vec q} ,\vec q = (q_1 , \ldots ,q_n )$$

1997 ◽  
Vol 31 (2) ◽  
pp. 136-138 ◽  
Author(s):  
E. D. Nursultanov
Keyword(s):  
Lorentz Space ◽  
Interpolation Functor

scholarly journals Closed time-like curves in flat Lorentz space–times

2003 ◽  
Vol 46 (3-4) ◽  
pp. 394-408 ◽  
Author(s):  
Virginie Charette ◽  
Todd A. Drumm ◽  
Dieter Brill
Keyword(s):  
Lorentz Space

scholarly journals Almost Surjective Epsilon-Isometry in The Reflexive Banach Spaces

CAUCHY ◽  
2017 ◽  
Vol 4 (4) ◽  
pp. 167
Author(s):  
Minanur Rohman
Keyword(s):  
Banach Space ◽  
Linear Operator ◽  
Banach Spaces ◽  
Lorentz Space ◽  
Bounded Linear Operator ◽  
Closed Subspace ◽  
Reflexive Banach Space ◽  
Reflexive Banach Spaces ◽  
Bounded Linear ◽  
Star Topology

<p class="AbstractCxSpFirst">In this paper, we will discuss some applications of almost surjective epsilon-isometry mapping, one of them is in Lorentz space ( L_(p,q)-space). Furthermore, using some classical theorems of w star-topology and concept of closed subspace -complemented, for every almost surjective epsilon-isometry mapping  <em>f </em>: <em>X to</em><em> Y</em>, where <em>Y</em> is a reflexive Banach space, then there exists a bounded linear operator   <em>T</em> : <em>Y to</em><em> X</em>  with  such that</p><p class="AbstractCxSpMiddle">  </p><p class="AbstractCxSpLast">for every x in X.</p>

Weighted inequalities for the Stieltjes transform and the maximal spherical partial sum operator on radial functions

1995 ◽  
Vol 125 (1) ◽  
pp. 195-204
Author(s):  
Kenneth F. Andersen
Keyword(s):  
Fourier Transform ◽  
Lorentz Space ◽  
Sufficient Conditions ◽  
Weighted Inequalities ◽  
Stieltjes Transform ◽  
Radial Functions ◽  
Partial Sum ◽  
Power Weights ◽  
The Fourier Transform ◽  
Spherical Partial Sum

If TRf(x) is the spherical partial sum of the Fourier transform of f and T*f(x) = SUPR > 0 | TRf(x)|, sufficient conditions are given on the non-negative weight function ω(x) which ensure that T* restricted to radial functionsis bounded on the Lorentz space Lp,s(Rn,ω) into Lp,q(Rn, ω) For power weights, these conditions are also necessary. The weight pairs (u,v) for which the generalised Stieltjes transform Sλ is bounded from LP,S(R+, v)into Lp,q(R+, u)are also characterised. These are an essential ingredient for the study of T*.

scholarly journals Interpolation functor and computability

2002 ◽  
Vol 284 (2) ◽  
pp. 487-498 ◽  
Author(s):  
Atsushi Yoshikawa
Keyword(s):  
Interpolation Functor

On regularity criteria of a weak solution to the three-dimensional magnetohydrodynamics equations in Lorentz space

2018 ◽  
Vol 148 (3) ◽  
pp. 593-604
Author(s):  
Jae-Myoung Kim
Keyword(s):  
Weak Solution ◽  
Bounded Domain ◽  
Lorentz Space ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Regularity Criteria ◽  
Magnetohydrodynamics Equations

We give a weak-Lp Serrin-type regularity criterion for a weak solution to the three-dimensional magnetohydrodynamics equations in a bounded domain Ω ⊂ ℝ3.

scholarly journals On the uniform Kadec-Klee property with respect to convergence in measure

1995 ◽  
Vol 59 (3) ◽  
pp. 343-352 ◽  
Author(s):  
F. A. Sukochev
Keyword(s):  
Function Space ◽  
Symmetric Function ◽  
Lorentz Space ◽  
Symmetric Operator ◽  
Von Neumann Algebra ◽  
Finite Measure ◽  
Operator Space ◽  
Von Neumann ◽  
Convergence In Measure ◽  
Uniform Monotonicity

AbstractLet E(0, ∞) be a separable symmetric function space, let M be a semifinite von Neumann algebra with normal faithful semifinite trace μ, and let E(M, μ) be the symmetric operator space associated with E(0, ∞). If E(0, ∞) has the uniform Kadec-Klee property with respect to convergence in measure then E(M, μ) also has this property. In particular, if LΦ(0, ∞) (ϕ(0, ∞)) is a separable Orlicz (Lorentz) space then LΦ(M, μ) (Λϕ (M, μ)) has the uniform Kadec-Klee property with respect to convergence in measure on sets of finite measure if and only if the norm of E(0, ∞) satisfies G. Birkhoff's condition of uniform monotonicity.

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