3 papers
math.FA2025
Littlewood--Paley estimates for pure-jump Dirichlet forms
Michał Gutowski
We employ the recent generalization of the Hardy--Stein identity to extend the previous Littlewood--Paley estimates to general pure-jump Dirichlet forms. The results generalize tho…
math.AP2023
Beurling-Deny formula for Sobolev-Bregman forms
Michał Gutowski, Mateusz Kwaśnicki
For an arbitrary regular Dirichlet form and the associated symmetric Markovian semigroup , we consider the corresponding Sobolev-Bregman form $\mathscr{E}_p(u) =…
math.CA2023
Polarized Hardy--Stein identity
Krzysztof Bogdan, Michał Gutowski, Katarzyna Pietruska-Pałuba
We prove the Hardy--Stein identity for vector functions in with and for the canonical paring of two real functions in …