St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 48
... INEQUALITY In this chapter we shall not single out the parameter A in the Dirac system explicitly , and we write ... inequality for this form . To do this , we need the following Hardy - type inequality . Proposition 7.1 . For functions ...
... INEQUALITY In this chapter we shall not single out the parameter A in the Dirac system explicitly , and we write ... inequality for this form . To do this , we need the following Hardy - type inequality . Proposition 7.1 . For functions ...
Sayfa 49
... inequality is true : ( 7.7 ) || u || 22 ( 12 ) 2 ≤ C | | x || o ( Ə ) u | 2 dx . √ §8 . THE DIRICHLET PROBLEM ( 7.4 ) We introduce the space H ( ) 2 as the completion of the linear set Co ( N ) 2 with respect to the norm defined by ...
... inequality is true : ( 7.7 ) || u || 22 ( 12 ) 2 ≤ C | | x || o ( Ə ) u | 2 dx . √ §8 . THE DIRICHLET PROBLEM ( 7.4 ) We introduce the space H ( ) 2 as the completion of the linear set Co ( N ) 2 with respect to the norm defined by ...
Sayfa 350
... inequalities are obtained from this relation . However , many subtler results cannot be derived from this inequality . Among those are , for example , coercive estimates for differential operators , which are expressed in terms of ...
... inequalities are obtained from this relation . However , many subtler results cannot be derived from this inequality . Among those are , for example , coercive estimates for differential operators , which are expressed in terms of ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero