An Introduction to Singular Integrals (Paperback)

Paperback. In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the HardyLittlewood maximal operator, the CalderonZygmund theory, the LittlewoodPaley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students. An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces. Provides basic, essential knowledge of some of the tools of real analysis: the HardyLittlewood maximal operator, the CalderonZygmund theory, the LittlewoodPaley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students Shipping may be from multiple locations in the US or from the UK, depending on stock availability. …