3 papers
math.FA2025
Littlewood--Paley estimates for pure-jump Dirichlet forms
MichaÅ 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.AP2025
Beurling-Deny formula for Sobolev-Bregman forms
MichaÅ Gutowski, Mateusz KwaÅnicki
For an arbitrary regular Dirichlet form and the associated symmetric Markovian semigroup , we consider the corresponding Sobolev-Bregman form $\mathscr{E}_p(u) =…
math.CA2025
Polarized Hardy--Stein identity
Krzysztof Bogdan, MichaÅ Gutowski, Katarzyna Pietruska-PaÅuba
We prove the Hardy--Stein identity for vector functions in with and for the canonical paring of two real functions in …