Neutron Applications in Earth, Energy, and Environmental Sciences / Romano Rinaldi ; Liyuan Liang ; Helmut Schober1: |
Neutron Scattering-A Non-destructive Microscope for Seeing Inside Matter / Roger Pynn2: |
Neutron Scattering Instrumentation / 3: |
Applications: Earth Sciences / Part I: |
Structural and Magnetic Phase Transitions in Minerals: In Situ Studies by Neutron Scattering / Simon A. T. Redfern ; Richard J. Harrison4: |
Inelastic Neutron Scattering and Lattice Dynamics: Perspectives and Challenges in Mineral Physics / Narayani Choudhury ; Samrath Lal Chaplot5: |
A Microscopic View of Mass Transport in Silicate Melts by Quasielastic Neutron Scattering and Molecular Dynamics Simulations / Andreas Meyer ; Florian Kargl ; Jurgen Horbach6: |
Neutron Diffraction Studies of Hydrous Minerals in Geosciences / Hermann Gies7: |
Studies of Mineral-Water Surfaces / Nancy L. Ross ; Elinor C. Spencer ; Andrey A. Levchenko ; Alexander I. Kolesnikov ; David J. Wesolowski ; David R. Cole ; Eugene Mamontov ; Lukas Vlcek8: |
Neutron Diffraction and the Mechanical Behavior of Geological Materials / Stephen J. Covey-Crump ; Paul F. Schofield9: |
The Contribution of Neutron Texture Goniometry to the Study of Complex Tectonics in the Alps / Jan Pleuger ; Nikolaus Froitzheim ; Jan F. Derks ; Walter Kurz ; Jan Albus ; Jens M. Walter ; Ekkehard Jansen10: |
Neutron Imaging Methods and Applications / Eberhard H. Lehmann11: |
Applications: Energy / Part II: |
Vibrational Dynamics and Guest-Host Coupling in Clathrate Hydrates / Michael M. Koza12: |
Applications of Neutron Scattering in the Chemical Industry: Proton Dynamics of Highly Dispersed Materials, Characterization of Fuel Cell Catalysts, and Catalysts from Large-Scale Chemical Processes / Peter W. Albers ; Stewart F. Parker13: |
Hydrogen and Hydrogen-Storage Materials / Milva Celli ; Daniele Colognesi ; Marco Zoppi14: |
Lithium Ion Materials for Energy Applications: Structural Properties from Neutron Diffraction / Michele Catti15: |
Applications: Environment / Part III: |
Application of Neutron Reflectivity for Studies of Biomolecular Structures and Functions at Interfaces / Alexander Johs ; Baohua Gu ; John F. Ankner ; Wei Wang16: |
Pollutant Speciation in Water and Related Environmental Treatment Issues / Gabriel J. Cuello ; Gabriela Roman-Ross ; Alejandro Fernandez-Martinez ; Oleg Sobolev ; Laurent Charlet ; Neal T. Skipper17: |
Clay Swelling: New Insights from Neutron-Based Techniques / Isabelle Bihannic ; Alfred Delville ; Bruno Deme ; Marie Plazanet ; Frederic Villieras ; Laurent J. Michot18: |
Structure and Dynamics of Fluids in Microporous and Mesoporous Earth and Engineered Materials / Gernot Rother19: |
The Combined Ultra-Small- and Small-Angle Neutron Scattering (USANS/SANS) Technique for Earth Sciences / Roberto Triolo ; Michael Agamalian20: |
Biosynthesis of Magnetite by Microbes / Sarah S. Staniland ; Bruce Ward ; Andrew Harrison21: |
Index |
Smoothness and Function Spaces |
Riesz and Bessel Potentials, Fractional Integrals / 6.1: |
Riesz Potentials / 6.1.1: |
Bessel Potentials / 6.1.2: |
Exercises |
Sobolev Spaces / 6.2: |
Definition and Basic Properties of General Sobolev Spaces / 6.2.1: |
Littlewood-Paley Characterization of Inhomogeneous Sobolev Spaces / 6.2.2: |
Littlewood-Paley Characterization of Homogeneous Sobolev Spaces / 6.2.3: |
Lipschitz Spaces / 6.3: |
Introduction to Lipschitz Spaces / 6.3.1: |
Littlewood-Paley Characterization of Homogeneous Lipschitz Spaces / 6.3.2: |
Littlewood-Paley Characterization of Inhomogeneous Lipschitz Spaces / 6.3.3: |
Hardy Spaces / 6.4: |
Definition of Hardy Spaces / 6.4.1: |
Quasinorm Equivalence of Several Maximal Functions / 6.4.2: |
Consequences of the Characterizations of Hardy Spaces / 6.4.3: |
Vector-Valued H[superscript p] and Its Characterizations / 6.4.4: |
Singular Integrals on Hardy Spaces / 6.4.5: |
The Littlewood-Paley Characterization of Hardy Spaces / 6.4.6: |
Besov-Lipschitz and Triebel-Lizorkin Spaces / 6.5: |
Introduction of Function Spaces / 6.5.1: |
Equivalence of Definitions / 6.5.2: |
Atomic Decomposition / 6.6: |
The Space of Sequences f[subscript p superscript alpha,q] / 6.6.1: |
The Smooth Atomic Decomposition of F[subscript p superscript alpha,q] / 6.6.2: |
The Nonsmooth Atomic Decomposition of F[subscript p superscript alpha,q] / 6.6.3: |
Atomic Decomposition of Hardy Spaces / 6.6.4: |
Singular Integrals on Function Spaces / 6.7: |
Singular Integrals on the Hardy Space H[superscript 1] / 6.7.1: |
Singular Integrals on Besov-Lipschitz Spaces / 6.7.2: |
Singular Integrals on H[superscript p] (R[superscript n]) / 6.7.3: |
A Singular Integral Characterization of H[superscript 1] (R[superscript n]) / 6.7.4: |
BMO and Carleson Measures |
Functions of Bounded Mean Oscillation / 7.1: |
Definition and Basic Properties of BMO / 7.1.1: |
The John-Nirenberg Theorem / 7.1.2: |
Consequences of Theorem 7.1.6 / 7.1.3: |
Duality between H[superscript 1] and BMO / 7.2: |
Nontangential Maximal Functions and Carleson Measures / 7.3: |
Definition and Basic Properties of Carleson Measures / 7.3.1: |
BMO Functions and Carleson Measures / 7.3.2: |
The Sharp Maximal Function / 7.4: |
Definition and Basic Properties of the Sharp Maximal Function / 7.4.1: |
A Good Lambda Estimate for the Sharp Function / 7.4.2: |
Interpolation Using BMO / 7.4.3: |
Estimates for Singular Integrals Involving the Sharp Function / 7.4.4: |
Commutators of Singular Integrals with BMO Functions / 7.5: |
An Orlicz-Type Maximal Function / 7.5.1: |
A Pointwise Estimate for the Commutator / 7.5.2: |
L[superscript p] Boundedness of the Commutator / 7.5.3: |
Singular Integrals of Nonconvolution Type |
General Background and the Role of BMO / 8.1: |
Standard Kernels / 8.1.1: |
Operators Associated with Standard Kernels / 8.1.2: |
Calderon-Zygmund Operators Acting on Bounded Functions / 8.1.3: |
Consequences of L[superscript 2] Boundedness / 8.2: |
Weak Type (1, 1) and L[superscript p] Boundedness of Singular Integrals / 8.2.1: |
Boundedness of Maximal Singular Integrals / 8.2.2: |
H[superscript 1] to L[superscript 1] and L[superscript infinity] to BMO Boundedness of Singular Integrals / 8.2.3: |
The T (1) Theorem / 8.3: |
Preliminaries and Statement of the Theorem / 8.3.1: |
The Proof of Theorem 8.3.3 / 8.3.2: |
An Application / 8.3.3: |
Paraproducts / 8.4: |
Introduction to Paraproducts / 8.4.1: |
L[superscript 2] Boundedness of Paraproducts / 8.4.2: |
Fundamental Properties of Paraproducts / 8.4.3: |
An Almost Orthogonality Lemma and Applications / 8.5: |
The Cotlar-Knapp-Stein Almost Orthogonality Lemma / 8.5.1: |
Almost Orthogonality and the T (1) Theorem / 8.5.2: |
Pseudodifferential Operators / 8.5.4: |
The Cauchy Integral of Calderon and the T(b) Theorem / 8.6: |
Introduction of the Cauchy Integral Operator along a Lipschitz Curve / 8.6.1: |
Resolution of the Cauchy Integral and Reduction of Its L[superscript 2] Boundedness to a Quadratic Estimate / 8.6.2: |
A Quadratic T(1) Type Theorem / 8.6.3: |
A T(b) Theorem and the L[superscript 2] Boundedness of the Cauchy Integral / 8.6.4: |
Square Roots of Elliptic Operators / 8.7: |
Preliminaries and Statement of the Main Result / 8.7.1: |
Estimates for Elliptic Operators on R[superscript n] / 8.7.2: |
Reduction to a Quadratic Estimate / 8.7.3: |
Reduction to a Carleson Measure Estimate / 8.7.4: |
The T(b) Argument / 8.7.5: |
The Proof of Lemma 8.7.9 / 8.7.6: |
Weighted Inequalities |
The A[subscript p] Condition / 9.1: |
Motivation for the A[subscript p] Condition / 9.1.1: |
Properties of A[subscript p] Weights / 9.1.2: |
Reverse Holder Inequality and Consequences / 9.2: |
The Reverse Holder Property of A[subscript p] Weights / 9.2.1: |
Consequences of the Reverse Holder Property / 9.2.2: |
The A[subscript infinity] Condition / 9.3: |
The Class of A[subscript infinity] Weights / 9.3.1: |
Characterizations of A[subscript infinity] Weights / 9.3.2: |
Weighted Norm Inequalities for Singular Integrals / 9.4: |
A Review of Singular Integrals / 9.4.1: |
A Good Lambda Estimate for Singular Integrals / 9.4.2: |
Consequences of the Good Lambda Estimate / 9.4.3: |
Necessity of the A[subscript p] Condition / 9.4.4: |
Further Properties of A[subscript p] Weights / 9.5: |
Factorization of Weights / 9.5.1: |
Extrapolation from Weighted Estimates on a Single L[superscript p0] / 9.5.2: |
Weighted Inequalities Versus Vector-Valued Inequalities / 9.5.3: |
Boundedness and Convergence of Fourier Integrals |
The Multiplier Problem for the Ball / 10.1: |
Sprouting of Triangles / 10.1.1: |
The counterexample / 10.1.2: |
Bochner-Riesz Means and the Carleson-Sjolin Theorem / 10.2: |
The Bochner-Riesz Kernel and Simple Estimates / 10.2.1: |
The Carleson-Sjolin Theorem / 10.2.2: |
The Kakeya Maximal Function / 10.2.3: |
Boundedness of a Square Function / 10.2.4: |
The Proof of Lemma 10.2.5 / 10.2.5: |
Kakeya Maximal Operators / 10.3: |
Maximal Functions Associated with a Set of Directions / 10.3.1: |
The Boundedness of [characters not reproducible] on L[superscript p] (R[superscript 2]) / 10.3.2: |
The Higher-Dimensional Kakeya Maximal Operator / 10.3.3: |
Fourier Transform Restriction and Bochner-Riesz Means / 10.4: |
Necessary Conditions for R[subscript p to q](S[superscript n-1]) to Hold / 10.4.1: |
A Restriction Theorem for the Fourier Transform / 10.4.2: |
Applications to Bochner-Riesz Multipliers / 10.4.3: |
The Full Restriction Theorem on R[superscript 2] / 10.4.4: |
Almost Everywhere Convergence of Bochner-Riesz Means / 10.5: |
A Counterexample for the Maximal Bochner-Riesz Operator / 10.5.1: |
Almost Everywhere Summability of the Bochner-Riesz Means / 10.5.2: |
Estimates for Radial Multipliers / 10.5.3: |
Time-Frequency Analysis and the Carleson-Hunt Theorem |
Almost Everywhere Convergence of Fourier Integrals / 11.1: |
Preliminaries / 11.1.1: |
Discretization of the Carleson Operator / 11.1.2: |
Linearization of a Maximal Dyadic Sum / 11.1.3: |
Iterative Selection of Sets of Tiles with Large Mass and Energy / 11.1.4: |
Proof of the Mass Lemma 11.1.8 / 11.1.5: |
Proof of Energy Lemma 11.1.9 / 11.1.6: |
Proof of the Basic Estimate Lemma 11.1.10 / 11.1.7: |
Distributional Estimates for the Carleson Operator / 11.2: |
The Main Theorem and Preliminary Reductions / 11.2.1: |
The Proof of Estimate (11.2.8) / 11.2.2: |
The Proof of Estimate (11.2.9) / 11.2.3: |
The Proof of Lemma 11.2.2 / 11.2.4: |
The Maximal Carleson Operator and Weighted Estimates / 11.3: |
Glossary |
References |
Neutron Applications in Earth, Energy, and Environmental Sciences / Romano Rinaldi ; Liyuan Liang ; Helmut Schober1: |
Neutron Scattering-A Non-destructive Microscope for Seeing Inside Matter / Roger Pynn2: |
Neutron Scattering Instrumentation / 3: |
Applications: Earth Sciences / Part I: |
Structural and Magnetic Phase Transitions in Minerals: In Situ Studies by Neutron Scattering / Simon A. T. Redfern ; Richard J. Harrison4: |
Inelastic Neutron Scattering and Lattice Dynamics: Perspectives and Challenges in Mineral Physics / Narayani Choudhury ; Samrath Lal Chaplot5: |