Kac regularity and domination of quadratic forms

article Kac regularity and domination of quadratic forms published yes Melchior Wirth author 88644358-0A0E-11EA-8FA5-49A33DDC885E0000-0002-0519-4241 JaMa department A domain is called Kac regular for a quadratic form on L2 if every functions vanishing almost everywhere outside the domain can be approximated in form norm by functions with compact support in the domain. It is shown that this notion is stable under domination of quadratic forms. As applications measure perturbations of quasi-regular Dirichlet forms, Cheeger energies on metric measure spaces and Schrödinger operators on manifolds are studied. Along the way a characterization of the Sobolev space with Dirichlet boundary conditions on domains in infinitesimally Riemannian metric measure spaces is obtained. https://research-explorer.ista.ac.at/download/11916/11921/2022_AdvancesOperatorTheory_Wirth.pdf application/pdfno Springer Nature2022 eng Algebra and Number TheoryAnalysis Advances in Operator Theory 2538-225X10.1007/s43036-022-00199-w 73 Wirth M. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 2022;7(3). doi:<a href="https://doi.org/10.1007/s43036-022-00199-w">10.1007/s43036-022-00199-w</a> Wirth M. 2022. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 7(3), 38. Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances in Operator Theory. Springer Nature, 2022. <a href="https://doi.org/10.1007/s43036-022-00199-w">https://doi.org/10.1007/s43036-022-00199-w</a>. M. Wirth, Advances in Operator Theory 7 (2022). M. Wirth, “Kac regularity and domination of quadratic forms,” Advances in Operator Theory, vol. 7, no. 3. Springer Nature, 2022. Wirth, M. (2022). Kac regularity and domination of quadratic forms. Advances in Operator Theory. Springer Nature. <a href="https://doi.org/10.1007/s43036-022-00199-w">https://doi.org/10.1007/s43036-022-00199-w</a> Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” Advances in Operator Theory, vol. 7, no. 3, 38, Springer Nature, 2022, doi:<a href="https://doi.org/10.1007/s43036-022-00199-w">10.1007/s43036-022-00199-w</a>. 119162022-08-18T07:22:24Z2024-10-09T21:03:07Z