Analysis in Banach Spaces Volume II: Probabilistic Methods and Operator Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) [Soft Cover ] von Jan Van Neerven, Mark Veraar, LutzWeis, Tuomas Hytönen, Tuomas Hytoenen Paperback, 616 Seiten, Veröffentlicht 2019 von Springer International Publishing Ag, Switzerland ISBN-13: 978-3-319-88846-0, ISBN: 3-319-88846-3
"This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory."
1(1st Edition) Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) von Mark Veraar, Jan Van Neerven, Tuomas Hytönen, LutzWeis, Tuomas Hytoenen Hardcover, 614 Seiten, Veröffentlicht 2016 von Springer ISBN-13: 978-3-319-48519-5, ISBN: 3-319-48519-9
"The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this e ..."
Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Band 63) : Volume I: Martingales and Littlewood-Paley Theory von Tuomas Hytönen, Jan Van Neerven, Mark Veraar, LutzWeis Veröffentlicht 2018 von Springer ISBN-13: 978-3-319-83961-5, ISBN: 3-319-83961-6
2(1st Edition) Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) von Tuomas Hytönen, Jan Van Neerven, Mark Veraar, LutzWeis Hardcover, 616 Seiten, Veröffentlicht 2018 von Springer ISBN-13: 978-3-319-69807-6, ISBN: 3-319-69807-9
"This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and co ..."
"In such situations one may use the following theorem to obtain that the operator
in fact belongs to Y(H. X). Theorem 9.1.20. Let X be a Banach space that does
not contain a closed subspace isomorphic to co. Then Yoo (H. X) = Y(H, X). Proof.
Let Te Yee (H, X). Let us first the case of a separable Hilbert space H, and let (hn)
, s1 be an Orthonormal basis for H. Clearly, < OO. N NP 1 The theorem of
Hoffmann-Jørgensen and Kwapies, or m ..."
"This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory."
"Complex Anal. Oper. Theory, 7(4):1019–1048, 2013a. 492 Betancor, J. J., R.
Crescimbeni, J. C. Fariña, and L. Rodríguez-Mesa. Multipliers and imaginary
powers of the Schrödinger operators characterizing UMD Banach spaces. Ann.
Acad. Sci. Fenn. Math., 38(1):209–227, 2013b. 492 Betancor, J. J., A. J. Castro, J.
Curbelo, J. C. Fariña, and L. Rodríguez-Mesa. Square functions in the Hermite
setting for functions with values in UMD spaces ..."
"This inequality allows to evaluate Lp-norms of Rademacher sums: For 1 < p < Co
there is a constant C, such that for all an e C 1. 2 +(Y. or) 2 < Yo. ... the claim
follows of course directly from the fact that (rn) is an Orthonormal sequence in L2[
0, 1] with C2 = 1. If all the Lp-norms are supposed to be equivalent for f(t) = XX.
anrn(t), then, intuitively, f should not grow' too fast. Indeed, we show first for XX.
Ilano = 1, that 1 ..."
"This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD student ..."