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Search: All articles in the CJM digital archive with keyword $H^p$ space

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1. CJM 2004 (vol 56 pp. 655)

Tao, Xiangxing; Wang, Henggeng
On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
We consider the Neumann problem for the Schr\"odinger equations $-\Delta u+Vu=0$, with singular nonnegative potentials $V$ belonging to the reverse H\"older class $\B_n$, in a connected Lipschitz domain $\Omega\subset\mathbf{R}^n$. Given boundary data $g$ in $H^p$ or $L^p$ for $1-\epsilon
Keywords:Neumann problem, Schrödinger equation, Lipschitz, domain, reverse Hölder class, $H^p$ space
Categories:42B20, 35J10

2. CJM 2000 (vol 52 pp. 381)

Miyachi, Akihiko
Hardy Space Estimate for the Product of Singular Integrals
$H^p$ estimate for the multilinear operators which are finite sums of pointwise products of singular integrals and fractional integrals is given. An application to Sobolev space and some examples are also given.

Keywords:$H^p$ space, multilinear operator, singular integral, fractional integration, Sobolev space
Category:42B20

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