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Weighted norm inequalities for integral transforms with product kernals /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers,
©2010.
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| Colección: | Mathematics research developments series.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- WEIGHTED NORM INEQUALITIES FOR INTEGRAL TRANSFORMS WITH PRODUCT KERNELS ; WEIGHTED NORM INEQUALITIES FOR INTEGRAL TRANSFORMS WITH PRODUCT KERNELS ; Contents; Preface; Acknowledgment; Basic Notation; Hardy and Pólya-Knopp Inequalities; 1.1 A Two-dimensional Hardy-type Inequality; 1.2 The Two-dimensional Pólya-Knopp Type Inequality; 1.3 The Multidimensional Case: 1<p q<1; 1.4 The Multidimensional Case: 1<q<p<1; 1.5 Multidimensional Pólya-Knopp Type Inequalities; 1.6 Double Riemann-Liouville Transform Without Sin-gularity; 1.7 Further Results; 1.8 Notes and Comments on Chapter 1.
- Weighted Boundedness Criteria for Integral Transforms With Product Kernels2.1 Integrals with General Product Kernels; 2.2 Truncated Potentials and Ball Fractional Integrals; 2.3 The Case of m-Multiple Kernels; 2.4 Multiple One-sided Potentials. Trace Inequality; 2.5 Multidimensional Hardy-Type Inequalities with General Kernels Via Convexity; 2.6 Weighted Integral Inequalities for Monotonic Func-tions, the Case p q; 2.7 Weighted Integral Inequalities for Monotonic Functions, the Case 0<q<p<1; 2.8 Further Results and Applications; 2.9 Notes and Comments on Chapter 2.
- One-sided Fractional Multiple Operators3.1 One-dimensional Operators; 3.2 One-sided Strong Fractional Maximal Functions; 3.3 Mixed-type Operators; 3.4 One-sided Potentials with Product Kernels; 3.5 One-weight Inequalities; 3.6 Weighted Strichartz Estimates for Semilinear Wave Equations; 3.7 Notes and Comments on Chapter 3; Strong Fractional Maximal Functions and Multiple Riesz Potentials; 4.1 Single Kernel Operators; 4.2 Two-weight Problem for Strong Fractional Maxi-mal Functions; 4.3 Mixed Multiple Operators; 4.4 Solution of the Trace Problem; 4.5 Riesz Potentials with Product Kernels.
- 4.6 Some Remarks4.7 Notes and Comments on Chapter 4; Strong Maximal Functions and Hilbert Transforms with Product Kernels; 5.1 Single Maximal Functions; 5.2 Strong Maximal Functions; 5.3 Two-weight Estimates for Hilbert Transforms with Single Kernel; 5.4 Hilbert Transforms with Product Kernels; The Case of Increasing Weights; The Case of Other Type of Weights; The n-dimensional Case; 5.5 Examples; 5.6 Applications to the Fourier Multipliers; 5.7 Notes and Comments on Chapter 5; Two-weight Estimates for Fourier Operators and Bernstein Inequalities.
- 6.1 Two-weight Inequalities for Cesàro and Abel-Poi-sson Means of Fourier Series6.2 On the Means of Fourier Integrals; 6.3 Bernstein Inequalities in the Two-weighted Setting; 6.4 Notes and Comments on Chapter 6; Appendix: Multidimensional Lorentz Spaces; Open Problems; Bibliography; INDEX.