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On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
Dirichlet form generalized Dirichlet form quasi-regularity standard process
2011/1/20
We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirich-let forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial)
semi-Dirichlet form...
Arens regularity of module actions and weak amenability of Banach algebras
Arens regularity weak amenability of Banach algebras
2010/11/9
For Banach left and right module actions, we will establish the relationships between topological centers of module actions with some result in the weak amenability of Banach algebras.
Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras
Arens Regularity of Tensor Products Weak Amenability of Banach Algebras
2010/11/9
In this note, we study the Arens regularity of projective tensor product $A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new conditions for showing that the Banach algebra...
Low regularity well-posedness for the 3D Klein-Gordon-Schrödinger system
the 3D Klein-Gordon-Schrö dinger system math
2010/11/19
The Klein-Gordon-Schr\"odinger system in 3D is shown to be locally well-posed for Schr\"odinger data in H^s and wave data in H^{\sigma} \times H^{\sigma -1}, if s > - \frac{1}{4}, \sigma > - \frac{1}...
Regularity for $p$-Harmonic Systems with Gradient Below the Critical Growth
controllable growth p-harmonic systems full regularity
2007/12/11
In this paper, we shall establish that each weak solution of p-harmonic type systems with the gradients below the controllable growth belongs to, H\"older continuity spaces with any H\"older exponent ...