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학술저널

RESOLVENT INEQUALITY OF LAPLACIAN IN BESOV SPACES

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For 1  p, q  1 and s 2 R, it is proved that there exists a constant C > 0 such that for any f 2 Bs+2 p,q (Rn) kfkBs+2p,q (Rn)  Ckf − fkBsp,q(Rn),which tells us that the operator I− is Bs+2p,q -coercive on the Besov space Bs p,q.

1. The Proof of the theorem

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