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010 a| 2021013318;

020 a| 9781470465759q| (paperback);

020 z| 9781470466602q| (ebook);

035 a| (WaSeSS)ssj0002541739;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA323b| .K56 2021;

082 00 a| 515/.7822| 23;

084 a| 42B25a| 46E35a| 26D10a| 28A12a| 31B15a| 35A23a| 35J92a| 42B372| msc;

100 1 a| Kinnunen, Juha.?| UNAUTHORIZED;

245 10 a| Maximal function methods for Sobolev spacesh| [electronic resource] /c| Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas.;

260 a| Providence, Rhode Island :b| American Mathematical Society,c| [2021];

300 a| xii, 338 pages ;c| 26 cm.;

490 0 a| Mathematical surveys and monographs,x| 0076-5376 ;v| volume 257;

504 a| Includes bibliographical references (pages 317-333) and index.;

505 0 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.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Sobolev spaces.=| ^A66042;

650 0 a| Maximal functions.=| ^A182189;

650 0 a| Inequalities (Mathematics)=| ^A22093;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory.2| msc;

650 7 a| Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems.2| msc;

650 7 a| Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators.2| msc;

650 7 a| Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities.2| msc;

650 7 a| Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length and related notions in higher dimensions.2| msc;

650 7 a| Partial differential equations -- General topics in partial differential equations -- Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals.2| msc;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Quasilinear elliptic equations with $p$-Laplacian.2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Lehrbäck, Juhaq| (Juha Tapio),d| 1979-?| UNAUTHORIZED;

700 1 a| Vähäkangas, Antti V.?| UNAUTHORIZED;

856 40 z| Full text available from eBooks on EBSCOhostu| https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2989442&scope=site&custid=s5822723&authtype=ip,shib;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6769778-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 7/18/2026x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6769778-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 7/18/2026x| EBOOKz| JERESOURCE;

Maximal function methods for Sobolev spaces / Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas.

Author/creator	Kinnunen, Juha
Other author	Lehrbäck, Juha (Juha Tapio), 1979-
Other author	Vähäkangas, Antti V.
Format	Electronic
Publication Info	Providence, Rhode Island : American Mathematical Society, [2021]
Description	xii, 338 pages ; 26 cm.
Supplemental Content	Full text available from eBooks on EBSCOhost
Subjects	Sobolev spaces. Maximal functions. Inequalities (Mathematics)

Series	Mathematical surveys and monographs, 0076-5376 ; volume 257
Contents	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.
Bibliography note	Includes bibliographical references (pages 317-333) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2021013318
ISBN	9781470465759 (paperback)
ISBN	(ebook)

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Maximal function methods for Sobolev spaces / Juha Kinnunen, Juha Lehrbäck, Antti Vähäkangas.

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