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MR1469585 (98k:34096) 34G10 (35K99 47D06 58D25)
Hieber, Matthias; Prüss, Jan Heat kernels and maximal $L\sp p$-$L\sp q$ estimates for parabolic evolution equations. Comm. Partial Differential Equations 22 (1997), no. 9-10, 1647--1669.
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