By Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
The current quantity develops the idea of integration in Banach areas, martingales and UMD areas, and culminates in a remedy of the Hilbert rework, Littlewood-Paley idea and the vector-valued Mihlin multiplier theorem.
Over the prior fifteen years, stimulated by way of regularity difficulties in evolution equations, there was large development within the research of Banach space-valued features and processes.
The contents of this wide and robust toolbox were often scattered round in study papers and lecture notes. Collecting this diversified physique of fabric right into a unified and obtainable presentation fills a niche within the current literature. The significant viewers that we've got in brain involves researchers who want and use research in Banach areas as a device for learning difficulties in partial differential equations, harmonic research, and stochastic research. Self-contained and supplying whole proofs, this paintings is available to graduate scholars and researchers with a heritage in sensible research or comparable areas.
Read or Download Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory: 1 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF
Similar functional analysis books
Many nonlinear difficulties in physics, engineering, biology and social sciences may be diminished to discovering severe issues of functionals. whereas minimax and Morse theories offer solutions to many occasions and difficulties at the lifestyles of a number of severe issues of a sensible, they generally can't supply much-needed extra houses of those severe issues.
This e-book provides contemporary effects about the international life in time, the large-time habit, decays of strategies and the lifestyles of worldwide attractors for nonlinear parabolic-hyperbolic coupled platforms of evolutionary partial differential equations.
This publication brings jointly all on hand effects in regards to the conception of algebraic multiplicities. It first bargains a vintage direction on finite-dimensional spectral thought after which offers the main normal effects on hand in regards to the lifestyles and distinctiveness of algebraic multiplicities for actual non-analytic operator matrices and households.
This e-book provides a whole category of all algebras with the Kadison-Singer estate, while proscribing to separable Hilbert areas. The Kadison-Singer estate offers with the subsequent query: given a Hilbert house H and an abelian unital C*-subalgebra A of B(H), does each natural nation on A expand uniquely to a natural nation on B(H)?
- Multivariate Wavelet Frames (Industrial and Applied Mathematics)
- Functional Analysis: Introduction to Further Topics in Analysis: Bk. 4 (Princeton Lectures in Analysis)
- The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances (SpringerBriefs in Mathematics)
- Optimization in Function Spaces: With Stability Considerations in Orlicz Spaces (De Gruyter Series in Nonlinear Analysis and Applications)
- A Concrete Introduction to Real Analysis (Textbooks in Mathematics)
- Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (Progress in Nonlinear Differential Equations and Their Applications)
Additional info for Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory: 1 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory: 1 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis