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1
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Muckenhoupt-Wheeden conjectures in higher dimensions

100%
Criado A., Soria F.
Studia Mathematica
|
2016
|
tom 233
|
nr 1
25-45
EN
In recent work by Reguera and Thiele (2012) and by Reguera and Scurry (2013), two conjectures about joint weighted estimates for Calderón-Zygmund operators and the Hardy-Littlewood maximal function were refuted in the one-dimensional case. One of the key ingredients for these results is the construction of weights for which the value of the Hilbert transform is substantially bigger than that of the maximal function. In this work, we show that a similar construction is possible for classical Calderón-Zygmund operators in higher dimensions. This allows us to fully disprove the conjectures.
2
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Remarks on a theorem by N. Yu. Antonov

100%
Sjölin P., Soria F.
Studia Mathematica
|
2003
|
tom 158
|
nr 1
79-97
EN
We extend some results of N. Yu. Antonov on convergence of Fourier series to more general settings. One special feature of our work is that we do not assume smoothness for the kernels in our hypotheses. This has interesting applications to convergence with respect to general orthonormal systems, like the Walsh-Fourier system, for which we prove a.e. convergence in the class L log L log log log L. Other applications are given in the theory of differentiation of integrals.
3
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On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series

79%
Soria F.
Studia Mathematica
|
1989
|
tom 94
|
nr 3
235-244
4
Content available remote

Note on differentiation of integrals and the halo conjecture

60%
Soria F.
Studia Mathematica
|
1985
|
tom 81
|
nr 1
29-36
5
Content available remote

The space Weak H¹

41%
Fefferman R., Soria F.
Studia Mathematica
|
1987
|
tom 85
|
nr 1
1-16
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