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33 p, 276.3 KB Weighted two-parameter Bergman space inequalities / Wilson, J. Michael (University of Vermont. Department of Mathematics and Statistics)
For f , a function defined on Rd1 ×Rd2 , take u to be its biharmonic extension into R+ +1 × Rd2 +1 . In this paper we prove strong d1 + sufficient conditions on measures µ and weights v such that the inequality 1/q q ∇2 u dµ(x1 , x2 , y1 , y2 ) d +1 d +1 R+1 ×R+2 1/p ≤ f p v dx Rd1 ×Rd2 will hold for all f in a reasonable test class, for 1 < p ≤ 2 ≤ q < ∞. [...]
2003 - 10.5565/PUBLMAT_47103_08
Publicacions matematiques, V. 47 N. 1 (2003) , p. 161-193  

See also: similar author names
6 Wilson, J. A.
1 Wilson, J. M.
5 Wilson, J.R.
1 Wilson, James G.
1 Wilson, Joanna L.
1 Wilson, John
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