4 papers
The height function of a sparse collection: a Bellman function approach
Shivam Aggarwal, Samuel Hernandez, Irina Holmes Fay +1
Sparse operators have emerged as a powerful method to extract sharp constants in harmonic analysis inequalities, for example in the context of bounding singular integral operators.…
The Bellman Function for Level Sets of Sparse Operators
Irina Holmes Fay, Zachary H. Pence, John Freeland Small +1
We investigate weak-type boundedness of sparse operators with respect to Lebesgue measure. Specifically, we find the Bellman function maximizing level sets of sparse opera…
Sharp restricted weak-type estimates for sparse operators
Irina Holmes Fay, Guillermo Rey, Kristina Ana Škreb
We find the exact Bellman function associated to the level-sets of sparse operators acting on characteristic functions.
Paraproducts, Bloom BMO and Sparse BMO Functions
Valentia Fragkiadaki, Irina Holmes Fay
We address bounds for paraproducts in the Bloom setting. We introduce certain "sparse BMO" functions associated with sparse collections with no infinitel…