Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Amalia Culiuc"'
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 8, Iss 1, Pp 168-184 (2017)
We prove a sparse bound for the m-sublinear form associated to vector-valued maximal functions of Fefferman-Stein type. As a consequence, we show that the sparse bounds of multisublinear operators are preserved via ℓr-valued extension. This observa
Externí odkaz:
https://doaj.org/article/8097784733d54e83b921b1acbbe53ecf
Publikováno v:
Transactions of the American Mathematical Society. 371:6213-6240
In this paper, we give necessary and sufficient conditions for weighted $L^2$ estimates with matrix-valued measures of well localized operators. Namely, we seek estimates of the form: \[ \| T(\mathbf{W} f)\|_{L^2(\mathbf{V})} \le C\|f\|_{L^2(\mathbf{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05a9889d9579bafbab88f443b14f0ca5
https://doi.org/10.1090/tran/7400
https://doi.org/10.1090/tran/7400
Publikováno v:
Mathematical Research Letters. 25:21-42
Using the Calder\'on-Zygmund decomposition, we give a novel and simple proof that $L^2$ bounded dyadic shifts admit a domination by positive sparse forms with linear growth in the complexity of the shift. Our estimate, coupled with Hyt\"onen's dyadic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5774e0e185c0dfd2d5d88d3fe16c5d34
https://doi.org/10.4310/mrl.2018.v25.n1.a2
https://doi.org/10.4310/mrl.2018.v25.n1.a2
Publikováno v:
Anal. PDE 10, no. 5 (2017), 1255-1284
We prove that bilinear forms associated to the rough homogeneous singular integrals $T_\Omega$ on $\mathbb R^d$, where the angular part $\Omega \in L^q (S^{d-1})$ has vanishing average and $1
Comment: 29 pages. References updated. Final version
Comment: 29 pages. References updated. Final version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fd8408107dfe07286827190159539f1
https://projecteuclid.org/euclid.apde/1510843500
https://projecteuclid.org/euclid.apde/1510843500
Publikováno v:
Anal. PDE 12, no. 5 (2019), 1259-1272
Consider the discrete cubic Hilbert transform defined on finitely supported functions $f$ on $\mathbb{Z}$ by \begin{eqnarray*} H_3f(n) = \sum_{m \not = 0} \frac{f(n- m^3)}{m}. \end{eqnarray*} We prove that there exists $r
Comment: 16 pages. To a
Comment: 16 pages. To a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ddefe0516386dedb1ed256241c5c762
http://arxiv.org/abs/1612.08881
http://arxiv.org/abs/1612.08881
We establish a uniform domination of the family of trilinear multiplier forms with singularity over a one-dimensional subspace by positive sparse forms involving $L^p$-averages. This class includes the adjoint forms to the bilinear Hilbert transforms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d44ba992c0b3ca9c7d457fee87ee4c3
http://arxiv.org/abs/1603.05317
http://arxiv.org/abs/1603.05317
Autor:
Amalia Culiuc, Sergei Treil
In this paper we prove the weighted martingale Carleson Embedding Theorem with matrix weights both in the domain and in the target space.
Comment: 9 pages. To appear in IMRN. Revised to incorporate referee comments
Comment: 9 pages. To appear in IMRN. Revised to incorporate referee comments
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4004f62f3710ae3dbb822dab7fde0f3