Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Domelevo, Komla"'
We show that the famous matrix $A_2$ conjecture is false: the norm of the Hilbert Transform in the space $L^2(W)$ with matrix weight $W$ is estimated below by $C[W]_{{A}_2}^{3/2}$.
Comment: 46 pages, 5 figures
Comment: 46 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2402.06961
Autor:
Domelevo, Komla, Durcik, Polona, Fragkiadaki, Valentia, Klein, Ohad, Silva, Diogo Oliveira e, Slavíková, Lenka, Wróbel, Błażej
The main result of this paper are dimension-free $L^p$ inequalities, $12,$ $\varepsilon>0,$ and $\theta=\theta(\varepsilon,p)\in (0,1)$ satisfying \[ \
Externí odkaz:
http://arxiv.org/abs/2401.07699
Autor:
Domelevo, Komla, Petermichl, Stefanie
We derive a dyadic model operator for the Riesz vector. We show linear upper $L^p$ bounds for $1 < p < \infty$ between this model operator and the Riesz vector, when applied to functions with values in Banach spaces. By an upper bound we mean that th
Externí odkaz:
http://arxiv.org/abs/2309.02803
Autor:
Domelevo, Komla, Petermichl, Stefanie
We show that if the dyadic Hilbert transform with values in a Banach space is $L^p$ bounded, then so is the Hilbert transform, with a linear relation of the bounds. This result is the counterpart of [arXiv:2212.00090] where the opposite bound was pro
Externí odkaz:
http://arxiv.org/abs/2303.12480
Autor:
Domelevo, Komla, Petermichl, Stefanie
We show that if the Hilbert transform with values in a Banach space is $L^p$ bounded, then so is the dyadic Hilbert transform, with a linear relation of the norms.
Comment: Grant information added and references completed
Comment: Grant information added and references completed
Externí odkaz:
http://arxiv.org/abs/2212.00090
We present a fundamentally new proof of the dimensionless Lp boundedness of the Bakry Riesz vector on manifolds with bounded geometry. Our proof has the significant advantage that it allows for a much stronger conclusion than previous arguments, name
Externí odkaz:
http://arxiv.org/abs/2211.10762
We develop a biparameter theory for matrix weights and provide various biparameter matrix-weighted bounds for Journ\'e operators as well as other central operators under the assumption of the product matrix Muckenhoupt condition. In particular, we pr
Externí odkaz:
http://arxiv.org/abs/2102.03395
We characterize dyadic little BMO via the boundedness of the tensor commutator with a single well chosen dyadic shift. It is shown that several proof strategies work for this problem, both in the unweighted case as well as with Bloom weights. Moreove
Externí odkaz:
http://arxiv.org/abs/2012.10201
Let $(T_t)_{t \geq 0}$ be a markovian (resp. submarkovian) semigroup on some $\sigma$-finite measure space $(\Omega,\mu)$. We prove that its negative generator $A$ has a bounded $H^\infty(\Sigma_\theta)$ calculus on the weighted space $L^2(\Omega,wd\
Externí odkaz:
http://arxiv.org/abs/1910.03979
We prove failure of the natural formulation of a matrix weighted bilinear Carleson embedding theorem, featuring a matrix valued Carleson sequence as well as products of norms for the embedding. We show that assuming an A2 weight is also not sufficien
Externí odkaz:
http://arxiv.org/abs/1906.08715