We prove that for a large class of functions P and Q, there exists d ∈ (0, 1) such that the discrete bilinear Radon transform (Formula presented.) is bounded from l2 × l2 into l1+E for any ∈ ∈ (d, 1). In particular, the boundedness holds for any ∈ ∈ (d, 1) when (Formula presented.) P (or Q) is the Euler totient function φ(|m|) or the prime counting function π(|m|).
- 11N05 (primary)
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