Optimal distributional estimates of the multiple Hilbert transform
Abstract
In this paper, we study optimal distributional estimates for the multiple Hilbert transform. We obtain pointwise upper and lower distributional estimates of the multiple Hilbert transform in terms of the d-fold composition of the Calderón operator with itself. This extends the fundamental results by A. P. Calderón, D. Boyd, and Ch. Fefferman for arbitrary d∈ N.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.