4 papers · 1 filter
Strichartz and local smoothing estimates for the fractional Schrödinger equations over fractal time
Jin Bong Lee, Sanghyuk Lee, Luz Roncal
We obtain Strichartz-type estimates for the fractional Schrödinger operator over a time set of fractal dimension. To obtain those estimates captu…
Endpoint estimates for the fractal circular maximal function and related local smoothing
Sanghyuk Lee, Luz Roncal, Feng Zhang +1
Sharp -- estimates for the spherical maximal function over dilation sets of fractal dimensions, including the endpoint estimates, were recently proved by Anderson--Hughes…
Weighted Weak Type estimates for non-integral Square Functions
Dario Mena, Maria Carmen Reguera, Luz Roncal
We provide quantitative weighted weak type estimates for non-integral square functions in the critical case in terms of the and reverse Hölder constants associated to t…
On differentiation of integrals in Lebesgue spaces
Marco Fraccaroli, Dariusz Kosz, Luz Roncal
We study the problem of differentiation of integrals for certain bases in the infinite-dimensional torus . In particular, for every , we construct…