Abstract
Let D ⊆ Rn be a Lipschitz domain and let u be a function biharmonic in D, i.e., ΔΔu = 0 in D. We prove that the nontangential maximal function and the square function of the gradient of u have equivalent Lp(dµ) norms, where d µ ϵ A∞(do) and dσ is surface measure on ∂D.
Original language | English (US) |
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Pages (from-to) | 903-917 |
Number of pages | 15 |
Journal | Transactions of the American Mathematical Society |
Volume | 327 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1991 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics