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math.AP2025
Nonlinear Hardy-Stein type identities for harmonic functions relative to symmetric integro-differential operators
Tomasz Klimsiak, Andrzej Rozkosz
We show identities of Hardy-Stein type for harmonic functions relative to integro-differential operators corresponding to general symmetric regular Dirichlet forms satisfying the a…
math.AP2024
Poisson equation with measure data, reconstruction formula and Doob classes of processes
Andrzej Rozkosz, Tomasz Klimsiak
We consider the Dirichlet problem for equation involving a general operator associated with a symmetric transient regular Dirichlet form and bounded Borel measure on the right-hand…