On the Improved Form of the Bounded Theorem for Pseudo-Differential Operators
Received:October 14, 1981  
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Du Xinhua Sichuan Teachers College 
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Abstract:
      Calderon A. P. et al. were studied a class of the bounded pseudo-differential-operators of order -M and type ρ,δ1, δ2, and showed them to be bounded in L2 provided that 0≤ρ≤δ1<1, 0≤ρ≤δ2<1 and M/n≥1/2(δ12)-ρ. H?raander et al. have shown that if the aforecited conditions are not valid, then the conclusion that A is bounded in L2 isn't necessarily right. Calderon et al. settled the borderline case and remove the restriction on the support of a.
Citation:
DOI:10.3770/j.issn:1000-341X.1984.03.010
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