Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Silvia Inés Hartzstein"'
Publikováno v:
Forum Mathematicum. 32:1415-1439
We introduce classes of pairs of weights closely related to Schrödinger operators, which allow us to get two-weight boundedness results for the Schrödinger fractional integral and its commutators. The techniques applied in the proofs strongly rely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c30a9503809f173702e60fb5791dde2
https://doi.org/10.1515/forum-2019-0243
https://doi.org/10.1515/forum-2019-0243
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
In this article we prove that the fractional integral operator associated to the Schrödinger second order differential operator L-α/2=(-Δ + V)-α/2maps with continuity weak Lebesgue space Lp,∞(v) into weighted Campanato-Hölder type spaces BMOβ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d351c54f56019be382765a6d9845a2e
https://doi.org/10.7153/mia-2020-23-94
https://doi.org/10.7153/mia-2020-23-94
We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup $e^{-t\sqrt{L}}$. First, we find the largest space of initial data $f$ so that $e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::725e5772bbbeaaf15b6f70a5710520b7
Autor:
Beatriz Viviani, Teresa Signes, Silvia Inés Hartzstein, Gustavo Garrigos Aniorte, José Luis Torrea Hernández
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Let L be either the Hermite or the Ornstein-Uhlenbeck operator on Rd. We find optimal integrability conditions on a function f for the existence of its heat and Poisson integrals, e−tLf(x) and e−t √Lf(x), solutions respectively of Ut = −LU an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1a1871a03b35f8b7452c2be2dddd54f
http://www.ams.org/journals/tran/2016-368-09/S0002-9947-2016-06554-X/
http://www.ams.org/journals/tran/2016-368-09/S0002-9947-2016-06554-X/
Publikováno v:
Journal of Mathematical Sciences. 173:643-655
Given α > 0 and a space of homogeneous type X, n-normal, with n ℝ+, we consider an extension of the standard multilinear fractional integral on Lp1 × ... × Lpk for the range of 1/pi = 1/p1...+1/pk -α/n ≤ 0. We show that the target space is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e4d60813a8979b9684f7df0f02a6559
https://doi.org/10.1007/s10958-011-0264-3
https://doi.org/10.1007/s10958-011-0264-3
Publikováno v:
Journal of Mathematical Analysis and Applications. 342:950-969
In this paper we characterize the weighted BMO ( ω ) ( X ) , with X a space of homogeneous type, through an adequate weighted Carleson measure. As a byproduct we can define the weighted Triebel–Lizorkin space F ˙ ∞ 0 , 2 ( ω ) ( X ) and obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93d2c4ce6f0989ae81ae6fda05e75cc5
https://doi.org/10.1016/j.jmaa.2007.12.065
https://doi.org/10.1016/j.jmaa.2007.12.065
We characterize the weighted Lebesgue spaces, L p ( R n , v ( x ) d x ) , L^p(\mathbb {R}^n,v(x)dx), for which the solutions of the Heat and Poisson problems have limits a.e. when the time t t tends to zero.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::598ee9caa304b2617992960e39e14c4f
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Let 0 < γ < 1, b be a BMO function and Iγ, b m the commutator of order m for the fractional integral. We prove two type of weighted Lp inequalities for Iγ, b m in the context of the spaces of homogeneous type. The first one establishes that, for A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8b00b240d63567f32a97b0cf2c96314
https://www.sciencedirect.com/science/article/pii/S0022247X05009741
https://www.sciencedirect.com/science/article/pii/S0022247X05009741