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math.FA2024
Compact bilinear operators and paraproducts revisited
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compa…
math.FA2024
Compact theorem à la Stein
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We prove a compact theorem, involving quantitative estimates, analogous to the quantitative classical theorem due to Stein. We also discuss the -to-…
math.FA2010
Modulation spaces, Wiener amalgam spaces, and Brownian motions
Árpád Bényi, Tadahiro Oh
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces M^{p, q}_s and Wiener amalgam spaces W^{p, q}_s. We show that t…