Results overview: Found 3 records in 0.02 seconds.
Articles, 3 records found
Articles 3 records found  
1.
46 p, 1.5 MB Sobolev regularity of the Beurling transform on planar domains / Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Consider a Lipschitz domain Ω and the Beurling transform of its characteristic function BχΩ(z) = −p. v. 1 πz2 ∗ χΩ(z). It is shown that if the outward unit normal vector N of the boundary of the domain is in the trace space of Wn,p(Ω) (i. [...]
2017 - 10.5565/PUBLMAT6121701
Publicacions matemàtiques, Vol. 61 Núm. 2 (2017) , p. 291-336 (Articles)  
2.
29 p, 474.6 KB On restricted weak-type constants of Fourier multipliers / Osekowski, Adam (University of Warsaw. Department of Mathematics, Informatics and Mechanics)
We exhibit a large class of symbols m: Rd ! C for which the corresponding Fourier multipliers Tm satisfy the following restricted weak-type estimates: if A Rd has finite Lebesgue measure, then. . . In particular, this leads to novel sharp estimates for the real and imaginary part of the Beurling-Ahlfors operator on C. [...]
2014 - 10.5565/PUBLMAT_58214_21
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 415-443  
3.
19 p, 191.4 KB Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces / Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 < r < [infinity] the norm of a sublinear operator on Lr(w) is bounded by a function of the Ar characteristic constant of the weight w, then for p > r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p < r it is bounded on Lp(v) by the same increasing function of the r-1/p-1 power of the Ap characteristic constant of v. [...]
2005 - 10.5565/PUBLMAT_49105_03
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 73-91  

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