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We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
      
This paper shows how the Kazhdan-Lusztig theory of cells can be directly applied to establish the quasi-heredity ofq-Schur algebras.
      
Fr?nsdal [Fr1, Fr2] made a penetrating observation that both of them are quasi-Hopf algebras, obtained by twisting the standard quantum affine algebraUq(g).
      
The case of some quasi-projective toric surfaces such as the affine plane are described by our method too.
      
Scales of quasi-norms are defined for the coefficients of the expansion that characterize, via Littlewood-Paley-Stein theory, when a radial distribution belongs to a Triebel-Lizorkin or Besov space.
      
A unified abstract framework for the multilevel decomposition of both Banach and quasi-Banach spaces is presented.
      
Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation
      
We prove that having a quasi-metric on a given set X is essentially equivalent to have a family of subsets S(x, r) of X for which y∈S(x, r) implies both S(y, r)?S(x, Kr) and S(x, r)?S(y, Kr) for some constant K.
      
The condition, which is expressed in terms of the intertwining operators of each primary summand of the quasi-regular representation, is then interpreted in the case of the compact Heisenberg manifolds.
      
With "hat" denoting the Banach envelope (of a quasi-Banach space) we prove that if 0>amp;lt;p>amp;lt;1, 0>amp;lt;q>amp;lt;1, ?, while if 0>amp;lt;p>amp;lt;1, 1≤q>amp;lt;+∞, ∝, and if 1≤p>amp;lt;+∞, 0>amp;lt;q>amp;lt;1, ?.
      
Approximation inL2 Sobolev spaces on the 2-sphere by quasi-interpolation
      
In this article we consider a simple method of radial quasi-interpolation by polynomials on the unit sphere in ?3, and present rates of covergence for this method in Sobolev spaces of square integrable functions.
      
We write the discrete Fourier series as a quasi-interpolant and hence obtain convergence rates, in the aforementioned Sobolev spaces, for the discrete Fourier projection.
      
This paper discusses the sufficient conditions for the shape preserving quasi-interpolation with multiquadric.
      
Some quasi-interpolation schema is given such that the interpolation as well as its high derivatives is convergent.
      
For an arbitrary ring A we construct quasi-P radical QP(A) with transfinite induction, and give another characterization of quasi-P radical: QP(A) = ∩ Ia ∣Ia.
      
Quasi-optimal error bounds are obtained, which is consistent with the interpolation properties of the finite elements used.
      
Some asymptotic inference in quasi-likelihood nonlinear models: A geometric approach
      
A modified Bates and Watts geometric framework is proposed for quasi-likelihood nonlinear models in Euclidean inner product space.
      
Based on the modified geometric framework, some asymptotic inference in terms of curvatures for quasi-likelihood nonlinear models is studied.
      
 

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