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math.CA2026
Sharp weighted bounds for Coulomb fields on the sphere
Evgueni Doubtsov, Ioann Vasilyev, Grigory Voinov
Let , let , and put . We determine, up to constants depending only on , the smallest possible norm in the unit ball $\mathbb{B…
math.CA2026
Weighted Chui's conjecture
Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev
The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb poten…