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Beyond local maximal operators (Q512829)

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Language	Label	Description	Also known as
English	Beyond local maximal operators	scientific article

Statements

scholarly article

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Beyond local maximal operators (English)

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Antti V. Vähäkangas

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Potential Analysis

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publication date

2 March 2017

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full work available at URL

https://arxiv.org/abs/1505.04042

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zbMATH Keywords

local maximal operator

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Muckenhoupt weight

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fractional Sobolev space

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MaRDI profile type

MaRDI publication profile

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Weighted Hardy-Type Inequalities for Differences and the Extension Problem for Spaces with Generalized Smoothness

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Hitchhiker's guide to the fractional Sobolev spaces

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A density property for fractional weighted Sobolev spaces

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SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS

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On comparability of integral forms

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A framework for fractional Hardy inequalities

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Characterizations for fractional Hardy inequality

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On Sobolev and capacitary inequalities for contractive Besov spaces over \(d\)-sets

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Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases

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Regularity of the local fractional maximal function

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Smoothing properties of the discrete fractional maximal operator on Besov and Triebel-Lizorkin spaces

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Characterizations to the fractional Sobolev inequality

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FRACTIONAL SOBOLEV–POINCARÉ AND FRACTIONAL HARDY INEQUALITIES IN UNBOUNDED JOHN DOMAINS

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Fractional Hardy inequalities and visibility of the boundary

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Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization

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The Hardy-Littlewood maximal function of a Sobolev function

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Lebesgue points for Sobolev functions on metric spaces.

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REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION

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Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.

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Neighbourhood capacities

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A $B_p$ condition for the strong maximal function

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Hardy inequalities for fractional integrals on general domains

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Continuity of the maximal operator in Sobolev spaces

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On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝ<sup>n</sup>

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Local maximal operators on fractional Sobolev spaces

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Sets of singularities of functions in spaces of Besov and Lizorkin- Triebel type

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Nonlinear potential theory and weighted Sobolev spaces

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The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11118-016-9581-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:512829

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