Table of Contents

*Frontmatter, pg. i*Preface, pg. vii*Notation, pg. ix*Contents, pg. xiii*I. Some Fundamental Notions of Real-Variable Theory, pg. 1*II. Singular Integrals, pg. 26*III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics, pg. 54*IV. The Littlewood-Paley Theory and Multipliers, pg. 81*V. Differentiability Properties in Terms of Function Spaces, pg. 116*VI. Extensions and Restrictions, pg. 166*VII. Return to the Theory of Harmonic Functions, pg. 196*VIII. Differentiation of Functions, pg. 240*Appendices, pg. 271*Bibliography, pg. 279*Index, pg. 289