J. Roos

activity

20162026

most citedMaximal operators and Hilbert transforms along variable non-flat homogeneous curves

35 citations · 168 across the 30 of their papers we have counts for

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2 papers · 2 filters

math.CA2016★ 35 cited

Maximal operators and Hilbert transforms along variable non-flat homogeneous curves

Shaoming Guo, Jonathan Hickman, Victor Lie +1

We prove that the maximal operator associated with variable homogeneous planar curves $(t, u t^{α})_{t \in R}$ , $α \neq = 1$ positive, is bounded on $L^{p} (R^{2})$ for each…

math.CA2016★ 12 cited

Polynomial Carleson operators along monomial curves in the plane

Shaoming Guo, Lillian B. Pierce, Joris Roos +1

We prove $L^{p}$ bounds for partial polynomial Carleson operators along monomial curves $(t, t^{m})$ in the plane $R^{2}$ with a phase polynomial consisting of a single monomial.…