Erhling's Inequality and Pseudo-Differential Operators on ð¿áµ–(IRá´º)
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M. W. Wong
mwwong@mathstat.yorku.ca
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Abstract
We give a version of Erhling's inequality for Lp-Sobolev spaces Hs,p on IRn, -∞ < s < ∞, 1 ≤ p < ∞ , and use it to establish an analogue of the Agmon Douglis-Nirenberg inequality for pseudo-differential operators perturbed by singular potentials on Lp(IRn), 1 < p < ∞. Applications to essential spectra of pseudo-differentials operators and strongly continuous one-parameter semigroups generated by pseudo-differential operators on Lp(IRn), 1 < p < ∞, are given.
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Published
2006-04-01
How to Cite
[1]
M. W. Wong, “Erhling’s Inequality and Pseudo-Differential Operators on ð¿áµ–(IRá´º)”, CUBO, vol. 8, no. 1, pp. 97–108, Apr. 2006.
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