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)
by Lutz Weis /
2016 / English / PDF
5.1 MB Download
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.
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.
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 extensive and powerful toolbox have been
mostly scattered around in research papers and lecture
notes. Collecting this diverse body of material into a
unified and accessible presentation fills a gap in the existing
literature. The principal audience that we have in mind consists
of researchers who need and use Analysis in Banach Spaces as a
tool for studying problems in partial differential equations,
harmonic analysis, and stochastic analysis. Self-contained and
offering complete proofs, this work is accessible to graduate
students and researchers with a background in functional analysis
or related areas.
The contents of this extensive and powerful toolbox have been
mostly scattered around in research papers and lecture
notes. Collecting this diverse body of material into a
unified and accessible presentation fills a gap in the existing
literature. The principal audience that we have in mind consists
of researchers who need and use Analysis in Banach Spaces as a
tool for studying problems in partial differential equations,
harmonic analysis, and stochastic analysis. Self-contained and
offering complete proofs, this work is accessible to graduate
students and researchers with a background in functional analysis
or related areas.
