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Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets /
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
Volume 245, no. 1159 (fourth of 6 numbers) |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local T(b) theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to ho. |
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| Descripción Física: | 1 online resource |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 1470436078 9781470436070 |
| ISSN: | 1947-6221 ; 0065-9266 |