We consider the Schrödinger operators in where the nonnegative potential belongs to the reverse Hölder class for some . We obtain the optimal estimates for the operators and where . In particular we show that is a Calderón-Zygmund operator if and are Calderón-Zygmund operators if .
Nous considérons des opérateurs de Schrödinger dans où le facteur non négatif appartient à la classe de Hölder inversée pour tout . Nous obtenons les estimations optimales pour les opérateurs et où . En particulier nous montrons que est un opérateur de Calderón-Zygmund si and sont des opérateurs de Calderón-Zygmund si .
@article{AIF_1995__45_2_513_0, author = {Shen, Zhongwei}, title = {$L^p$ estimates for {Schr\"odinger} operators with certain potentials}, journal = {Annales de l'Institut Fourier}, pages = {513--546}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {45}, number = {2}, year = {1995}, doi = {10.5802/aif.1463}, mrnumber = {96h:35037}, zbl = {0818.35021}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1463/} }
TY - JOUR AU - Shen, Zhongwei TI - $L^p$ estimates for Schrödinger operators with certain potentials JO - Annales de l'Institut Fourier PY - 1995 SP - 513 EP - 546 VL - 45 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1463/ DO - 10.5802/aif.1463 LA - en ID - AIF_1995__45_2_513_0 ER -
%0 Journal Article %A Shen, Zhongwei %T $L^p$ estimates for Schrödinger operators with certain potentials %J Annales de l'Institut Fourier %D 1995 %P 513-546 %V 45 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1463/ %R 10.5802/aif.1463 %G en %F AIF_1995__45_2_513_0
Shen, Zhongwei. $L^p$ estimates for Schrödinger operators with certain potentials. Annales de l'Institut Fourier, Volume 45 (1995) no. 2, pp. 513-546. doi : 10.5802/aif.1463. http://archive.numdam.org/articles/10.5802/aif.1463/
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