Variational inequalities for singular integral operators | Zendy

Albert Mas Blesa | Zendy

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Variational inequalities for singular integral operators

Author(s) -

Albert Mas Blesa

Publication year - 2013

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.90

Subject(s) - singular integral operators , singular integral , mathematics , lipschitz continuity , mathematical proof , inequality , singular solution , variational inequality , pure mathematics , mathematical analysis , algebra over a field , calculus (dental) , integral equation , geometry , medicine , dentistry

In these notes we survey some new results concerning the ρ-variation for singular integral operators defined on Lipschitz graphs. Moreover, we investigate the relationship between variational inequalities for singular integrals on AD regular measures and geometric properties of such measures. An overview of the main results and applications, as well as some ideas of the proofs, are given.

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