Results overview: Found 7 records in 0.02 seconds.
Articles, 7 records found
Articles 7 records found  
1.
19 p, 335.6 KB Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension / Cufí Sobregrau, Julià, 1945- (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Donaire Benito, Juan Jesús (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattila, Pertti (University of Helsinki. Department of Mathematics and Statistics) ; Verdera, Joan (Centre de Recerca Matemàtica)
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure µ vanishes, then the set of points where the principal value of the Cauchy singular integral of µ exists has Hausdorff dimension 1. [...]
2023 - 10.2140/pjm.2023.326.285
Pacific Journal of Mathematics, Vol. 326, no. 2 (Oct. 2023) , p. 285-300  
2.
15 p, 312.8 KB The global regularity of vortex patches revisited / Verdera, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree −1 and of class C2 off the origin.
2023 - 10.1016/j.aim.2023.108917
Advances in Mathematics, Vol. 416 (March 2023) , art. 108917  
3.
10 p, 191.4 KB Singular integrals and rectifiability / Mattila, Pertti (University of Jyväskylä. Department of Mathematics and Statistics)
We shall discuss singular integrals on lower dimensional subsets of Rn. A survey of this topic was given in [M4]. The first part of this paper gives a quick review of some results discussed in [M4] and a survey on some newer results and open problems. [...]
2002 - 10.5565/PUBLMAT_Esco02_09
Publicacions matemàtiques, Vol. Extra (2002) , p. 199-208  
4.
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  
5.
17 p, 344.3 KB Boundedness of rough integral operators on Triebel-Lizorkin spaces / Al-Qassem, H. M. ; Cheng, L. C. ; Pan, Y.
We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results.
2012 - 10.5565/PUBLMAT_56212_01
Publicacions matemàtiques, Vol. 56, Núm. 2 (2012) , p. 261-277  
6.
18 p, 193.1 KB BCR algorithm and the T(b) Theorem / Auscher, Paul (Université de Paris-Sud) ; Yang, Qi Xiang (Wuhan University (Xina). Mathematic and Statistic school)
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on Lp, 1 < p < ∞, and of a perfect dyadic singular integral operator. [...]
2009 - 10.5565/PUBLMAT_53109_08
Publicacions matemàtiques, V. 53 n. 1 (2009) p. 179-196  
7.
15 p, 167.6 KB Commutators of singular integrals on generalized Lp spaces with variable exponent / Karlovich, Alexei Yu. ; Lerner, Andrei K.
A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized Lp spaces with variable exponent.
2005 - 10.5565/PUBLMAT_49105_05
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 111-125  

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