Maximal function methods for Sobolev spaces:
Maximal functions -- Lipeschitz and Sobolev functions -- Sobolev and Poincaré inequalities -- Pointwise inequalities for Sobolev functions -- Capacities and fine properties of Sobolev functions -- Hardy's inequalities -- Density conditions -- Muckenhoupt weights -- Weighted maximal and Poincaré...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2021]
|
| Series: | Mathematical surveys and monographs
Volume 257 |
| Subjects: |
Harmonic analysis on Euclidean spaces
> Harmonic analysis in several variables
> Maximal functions, Littlewood-Paley theory
Functional analysis
> Linear function spaces and their duals
> Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems
Real functions
> Inequalities
> Inequalities involving derivatives and differential and integral operators
Potential theory
> Higher-dimensional theory
> Potentials and capacities, extremal length and related notions in higher dimensions
Partial differential equations
> General topics in partial differential equations
> Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
|
| Summary: | Maximal functions -- Lipeschitz and Sobolev functions -- Sobolev and Poincaré inequalities -- Pointwise inequalities for Sobolev functions -- Capacities and fine properties of Sobolev functions -- Hardy's inequalities -- Density conditions -- Muckenhoupt weights -- Weighted maximal and Poincaré inequalities -- Distance weights and Hardy-Sobolev inequalities -- The p-Laplace equation -- Stability results for the p-Laplace equation |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xii, 338 Seiten Illustrationen |
| ISBN: | 9781470465759 |
Staff View
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| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2021] | |
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| 490 | 1 | |a Mathematical surveys and monographs |v Volume 257 | |
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| 520 | 3 | |a Maximal functions -- Lipeschitz and Sobolev functions -- Sobolev and Poincaré inequalities -- Pointwise inequalities for Sobolev functions -- Capacities and fine properties of Sobolev functions -- Hardy's inequalities -- Density conditions -- Muckenhoupt weights -- Weighted maximal and Poincaré inequalities -- Distance weights and Hardy-Sobolev inequalities -- The p-Laplace equation -- Stability results for the p-Laplace equation | |
| 653 | 0 | |a Sobolev spaces | |
| 653 | 0 | |a Maximal functions | |
| 653 | 0 | |a Inequalities (Mathematics) | |
| 653 | 0 | |a Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory | |
| 653 | 0 | |a Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems | |
| 653 | 0 | |a Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators | |
| 653 | 0 | |a Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities | |
| 653 | 0 | |a Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length and related notions in higher dimensions | |
| 653 | 0 | |a Partial differential equations -- General topics in partial differential equations -- Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals | |
| 653 | 0 | |a Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with p-Laplacian | |
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| id | DE-604.BV047861832 |
| illustrated | Illustrated |
| index_date | 2024-07-03T19:18:01Z |
| indexdate | 2024-07-10T09:23:23Z |
| institution | BVB |
| isbn | 9781470465759 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033244426 |
| oclc_num | 1267471186 |
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| owner_facet | DE-188 |
| physical | xii, 338 Seiten Illustrationen |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Kinnunen, Juha Verfasser (DE-588)170232379 aut Maximal function methods for Sobolev spaces Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas Providence, Rhode Island American Mathematical Society [2021] xii, 338 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 257 Includes bibliographical references and index Maximal functions -- Lipeschitz and Sobolev functions -- Sobolev and Poincaré inequalities -- Pointwise inequalities for Sobolev functions -- Capacities and fine properties of Sobolev functions -- Hardy's inequalities -- Density conditions -- Muckenhoupt weights -- Weighted maximal and Poincaré inequalities -- Distance weights and Hardy-Sobolev inequalities -- The p-Laplace equation -- Stability results for the p-Laplace equation Sobolev spaces Maximal functions Inequalities (Mathematics) Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length and related notions in higher dimensions Partial differential equations -- General topics in partial differential equations -- Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with p-Laplacian Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE Lehrbäck, Juha Verfasser (DE-588)1240907680 aut Vähäkangas, Antti Verfasser (DE-588)124090780X aut Erscheint auch als Online-Ausgabe 978-1-4704-6660-2 Mathematical surveys and monographs Volume 257 (DE-604)BV000018014 257 |
| spellingShingle | Kinnunen, Juha Lehrbäck, Juha Vähäkangas, Antti Maximal function methods for Sobolev spaces Mathematical surveys and monographs |
| title | Maximal function methods for Sobolev spaces |
| title_auth | Maximal function methods for Sobolev spaces |
| title_exact_search | Maximal function methods for Sobolev spaces |
| title_exact_search_txtP | Maximal function methods for Sobolev spaces |
| title_full | Maximal function methods for Sobolev spaces Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas |
| title_fullStr | Maximal function methods for Sobolev spaces Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas |
| title_full_unstemmed | Maximal function methods for Sobolev spaces Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas |
| title_short | Maximal function methods for Sobolev spaces |
| title_sort | maximal function methods for sobolev spaces |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT kinnunenjuha maximalfunctionmethodsforsobolevspaces AT lehrbackjuha maximalfunctionmethodsforsobolevspaces AT vahakangasantti maximalfunctionmethodsforsobolevspaces |