01982nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084002200185100002800207245009200235260008200327300003400409336002600443337002600469338003600495347002400531490006100555506006500616520075500681650003201436650002901468650002601497856003201523856007701555241-181122CH-001817-320181122233002.0a fot ||| 0|cr nn mmmmamaa181122e20190131sz fot ||| 0|eng d a978303719695370a10.4171/1952doi ach0018173 7aPBKG2bicssc a46-xxa42-xx2msc1 aTriebel, Hans,eauthor.10aFunction Spaces with Dominating Mixed Smoothnessh[electronic resource] /cHans Triebel3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2019 a1 online resource (210 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-51761 aRestricted to subscribers:uhttp://www.ems-ph.org/ebooks.php aThe first part of this book is devoted to function spaces in Euclidean $n$-space with dominating mixed smoothness. Some new properties are derived and applied in the second part where weighted spaces with dominating mixed smoothness in arbitrary bounded domains in Euclidean $n$-space are introduced and studied. This includes wavelet frames, numerical integration and discrepancy, measuring the deviation of sets of points from uniformity.
These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besovâ€“Sobolev type. In particular, it will be of interest for researchers dealing with approximation theory, numerical integration and discrepancy.07aFunctional analysis2bicssc07aFunctional analysis2msc07aFourier analysis2msc40uhttps://doi.org/10.4171/195423cover imageuhttp://www.ems-ph.org/img/books/triebel_smoothness_mini.jpg