001450199 000__ 03625cam\a2200565\i\4500 001450199 001__ 1450199 001450199 003__ OCoLC 001450199 005__ 20230310004513.0 001450199 006__ m\\\\\o\\d\\\\\\\\ 001450199 007__ cr\cn\nnnunnun 001450199 008__ 221012s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001450199 019__ $$a1346534250$$a1347025197$$a1350746631 001450199 020__ $$a9783031082344$$q(electronic bk.) 001450199 020__ $$a3031082346$$q(electronic bk.) 001450199 020__ $$z9783031082337 001450199 020__ $$z3031082338 001450199 0247_ $$a10.1007/978-3-031-08234-4$$2doi 001450199 035__ $$aSP(OCoLC)1347263074 001450199 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dN$T$$dOCLCF$$dOCLCQ 001450199 049__ $$aISEA 001450199 050_4 $$aQA379 001450199 08204 $$a515/.35$$223/eng/20221012 001450199 1001_ $$aMarín, Juan José,$$eauthor. 001450199 24510 $$aSingular integral operators, quantitative flatness, and boundary problems /$$cJuan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea. 001450199 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2022. 001450199 300__ $$a1 online resource :$$billustrations (black and white, and color). 001450199 336__ $$atext$$btxt$$2rdacontent 001450199 337__ $$acomputer$$bc$$2rdamedia 001450199 338__ $$aonline resource$$bcr$$2rdacarrier 001450199 4901_ $$aProgress in mathematics ;$$vvolume 344 001450199 504__ $$aIncludes bibliographical references and indexes. 001450199 5050_ $$aIntroduction -- Geometric Measure Theory -- Calderon-Zygmund Theory for Boundary Layers in UR Domains -- Boundedness and Invertibility of Layer Potential Operators -- Controlling the BMO Semi-Norm of the Unit Normal -- Boundary Value Problems in Muckenhoupt Weighted Spaces -- Singular Integrals and Boundary Problems in Morrey and Block Spaces -- Singular Integrals and Boundary Problems in Weighted Banach Function Spaces. 001450199 506__ $$aAccess limited to authorized users. 001450199 520__ $$aThis monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis will find this text to be a valuable addition to the mathematical literature. 001450199 588__ $$aDescription based on print version record. 001450199 650_0 $$aBoundary value problems. 001450199 650_0 $$aSingular integrals. 001450199 655_0 $$aElectronic books. 001450199 7001_ $$aMartell, José Maria,$$eauthor.$$1https://isni.org/isni/0000000119914134 001450199 7001_ $$aMitrea, Dorina,$$d1965-$$eauthor.$$1https://isni.org/isni/0000000110350758 001450199 7001_ $$aMitrea, Irina,$$eauthor.$$1https://isni.org/isni/0000000403626797 001450199 7001_ $$aMitrea, Marius,$$eauthor.$$1https://isni.org/isni/0000000116450995 001450199 77608 $$iPrint version:$$aMarín, Juan José.$$tSingular integral operators, quantitative flatness, and boundary problems.$$dCham : Springer, 2022$$z9783031082337$$w(OCoLC)1338685675 001450199 830_0 $$aProgress in mathematics (Boston, Mass.) ;$$vv. 344. 001450199 852__ $$bebk 001450199 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-08234-4$$zOnline Access$$91397441.1 001450199 909CO $$ooai:library.usi.edu:1450199$$pGLOBAL_SET 001450199 980__ $$aBIB 001450199 980__ $$aEBOOK 001450199 982__ $$aEbook 001450199 983__ $$aOnline 001450199 994__ $$a92$$bISE