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.
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Presents a comprehensive and unified account of modern tools for the study of partial differential equations, harmonic analysis, and stochastic analysis in infinite dimensions Develops a systematic theory of UMD spaces, starting from scratch and reaching substantial Fourier-analytic applications Offers complete, detailed proofs with explicit bounds for most constants, many of them previously unrecorded in the literature Includes supplementary material: sn.pub/extras
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Produktdetaljer
ISBN
9783319839615
Publisert
2018-07-07
Utgiver
Springer International Publishing AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
17