@article{RungrottheeraLyuSchulze2018, author = {Rungrottheera, Wannarut and Lyu, Xiaojing and Schulze, Bert-Wolfgang}, title = {Parameter-dependent edge calculus and corner parametrices}, series = {Journal of nonlinear and convex analysis : an international journal}, volume = {19}, journal = {Journal of nonlinear and convex analysis : an international journal}, number = {12}, publisher = {Yokohama Publishers}, address = {Yokohama}, issn = {1345-4773}, pages = {2021 -- 2051}, year = {2018}, abstract = {Let B be a compact manifold with smooth edge of dimension > 0. We study the interplay between parameter-dependent edge algebra algebra on B and operator families belonging to the corner calculus, and we characterize parametrices in the corner case.}, language = {en} } @article{RungrottheeraSchulze2014, author = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang}, title = {Weighted spaces on corner manifolds}, series = {Complex variables and elliptic equations}, volume = {59}, journal = {Complex variables and elliptic equations}, number = {12}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1747-6933}, doi = {10.1080/17476933.2013.876416}, pages = {1706 -- 1738}, year = {2014}, abstract = {We study spaces on manifolds with double weights and iterated discrete and continuous asymptotics, and their relationship with corner pseudo-differential operators.}, language = {en} } @article{RungrottheeraSchulzeWong2014, author = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang and Wong, M. W.}, title = {Iterative properties of pseudo-differential operators on edge spaces}, series = {Journal of pseudo-differential operators and applications}, volume = {5}, journal = {Journal of pseudo-differential operators and applications}, number = {4}, publisher = {Springer}, address = {Basel}, issn = {1662-9981}, doi = {10.1007/s11868-014-0100-x}, pages = {455 -- 479}, year = {2014}, abstract = {Pseudo-differential operators with twisted symbolic estimates play a large role in the calculus on manifolds with edge singularities. We study here aspects of the underlying abstract concept and establish a new result on iteration of quantizations.}, language = {en} }