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arxiv: 1704.03586 · v1 · pith:MLRL5LOInew · submitted 2017-04-12 · 🧮 math.CA

Bilinear Spherical Maximal Function

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keywords bilinearfunctionmaximalobtainrangesphericalasymptoticallybanach
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We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of $L^p$ with $p<1$. We also obtain counterexamples that are asymptotically optimal with our positive results on certain indices as the dimension tends to infinity.

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