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66 sonuçtan 1-3 arası sonuçlar
Sayfa 748
Combined with Theorems 1 and 3, Proposition 2 gives also sufficient conditions
for the equivalence of the Lp-norm generated by a measure p and the natural
norm of the space Kq. Such measures were completely described by Volberg [19]
in ...
Combined with Theorems 1 and 3, Proposition 2 gives also sufficient conditions
for the equivalence of the Lp-norm generated by a measure p and the natural
norm of the space Kq. Such measures were completely described by Volberg [19]
in ...
Sayfa 877
Suppose s € N and 0 € R. We put r = (x2 + y2 + z2)1/2 and denote by Hsg{K) the
completion of C^°(/C \ O) with respect to the norm \\u;Hp{K)\\ = ( T [ r2^a^\D^zu(^y
^)\2dxdydz) ' , where a = (q1,q2,q3) is a multiindex, D« y z = D^D^D°3, and Dx ...
Suppose s € N and 0 € R. We put r = (x2 + y2 + z2)1/2 and denote by Hsg{K) the
completion of C^°(/C \ O) with respect to the norm \\u;Hp{K)\\ = ( T [ r2^a^\D^zu(^y
^)\2dxdydz) ' , where a = (q1,q2,q3) is a multiindex, D« y z = D^D^D°3, and Dx ...
Sayfa 895
For q > 0, the spaces H%(K, q), H%(B,q) are equipped with the norms 1/2 |u;^(K,9
)||=(2g2fc||u;^-fc(K)||2) , |K^(D,9)||= ^92fc||U;^-fc(D)||2 □ Now, we define function
spaces in the cylinder T = D x R. Let Hg(T) stand for the completion of C^°((D\ M)
...
For q > 0, the spaces H%(K, q), H%(B,q) are equipped with the norms 1/2 |u;^(K,9
)||=(2g2fc||u;^-fc(K)||2) , |K^(D,9)||= ^92fc||U;^-fc(D)||2 □ Now, we define function
spaces in the cylinder T = D x R. Let Hg(T) stand for the completion of C^°((D\ M)
...
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İçindekiler
G KOKAREV AND S KUKSIN | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
3 diğer bölüm gösterilmiyor
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algebra American Mathematical Society apply arbitrary assume asymptotics belongs boundary conditions cellular ring Chevalley groups Co-contraction coefficients coincides commutative commutative ring compact consider constant contains convergence Corollary corresponding curve cyclic cyclic group defined Definition denote differential operator domain easily seen eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists exponential finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal identity implies inequality inner function integral invariant isomorphism Jordan model kernel lattice Lemma linear manifold mapping Math matrix g Moreover multiple norm notation obtain orthogonal parameters perestroika polynomial present paper problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence smooth Sobolev spaces solution solvable spectrum subgroup Subsection subspaces Suppose symplectic group Theorem Theorem 2.1 theory theta theta-series transformation transvections zero