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Sayfa 351
By v we denote the Hausdorff dimension of H " with respect to the Heisenberg
metric , which is equal to 2n + 2 . The family of mappings & t : ( x ' , x " , X2n + 1 )
H ( tx ' , tx " , t - x2n + 1 ) , t > 0 , is called the one - parametric family of dilations .
By v we denote the Hausdorff dimension of H " with respect to the Heisenberg
metric , which is equal to 2n + 2 . The family of mappings & t : ( x ' , x " , X2n + 1 )
H ( tx ' , tx " , t - x2n + 1 ) , t > 0 , is called the one - parametric family of dilations .
Sayfa 354
5 ) Or Or för + 00F It is easily seen that the support of ( 70 , ) lies in vzo ( 12 ) ,
because the domain Sl ' is star - like in N C Hm with respect to B ( a , r ) .
Therefore , the functions , Top , and 0 01 can be extended by zero to continuous
functions ...
5 ) Or Or för + 00F It is easily seen that the support of ( 70 , ) lies in vzo ( 12 ) ,
because the domain Sl ' is star - like in N C Hm with respect to B ( a , r ) .
Therefore , the functions , Top , and 0 01 can be extended by zero to continuous
functions ...
Sayfa 360
Consequently , the kernel K ' | ( , 2 ) is homogeneous of degree - v with respect to
z and satisfies [ sco K5 ( , z ) dz = 0 . Thus , for the kernel K | ( 2 , 2 ) , the
hypotheses of the generalization of the Zygmund - Calderón theorem to the case
of the ...
Consequently , the kernel K ' | ( , 2 ) is homogeneous of degree - v with respect to
z and satisfies [ sco K5 ( , z ) dz = 0 . Thus , for the kernel K | ( 2 , 2 ) , the
hypotheses of the generalization of the Zygmund - Calderón theorem to the case
of the ...
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero