Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Torres, Rodolfo H."'
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to $L^2$-compactness via a compact version of the $T(1)$ theorem.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2412.09543
We prove a compact $T(1)$ theorem, involving quantitative estimates, analogous to the quantitative classical $T(1)$ theorem due to Stein. We also discuss the $C_c^\infty$-to-$CMO$ mapping properties of non-compact Calder\'on-Zygmund operators.
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Externí odkaz:
http://arxiv.org/abs/2405.08416
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compact bilinear operators on Banach spaces and present examples. We then p
Externí odkaz:
http://arxiv.org/abs/2405.08412
Publikováno v:
This is a pre-print of an article published in Math. Ann. 376 (2020), no. 1-2, 61-102
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick,
Externí odkaz:
http://arxiv.org/abs/1710.08515
Autor:
Hart, Jarod, Torres, Rodolfo H.
This work explores new deep connections between John-Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of $BMO$-type spaces. The results are formulated in a very general framework in which $BMO$ spaces are constructed us
Externí odkaz:
http://arxiv.org/abs/1707.01141
We prove that bilinear fractional integral operators and similar multipliers are smoothing in the sense that they improve the regularity of functions. We also treat bilinear singular multiplier operators which preserve regularity and obtain several L
Externí odkaz:
http://arxiv.org/abs/1701.02631
Autor:
Chaffee, Lucas, Torres, Rodolfo H.
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness
Externí odkaz:
http://arxiv.org/abs/1411.0697
Commutators of bilinear Calder\'on-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact on appropriate products of weighted Lebesgue spaces.
Externí odkaz:
http://arxiv.org/abs/1310.6268
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions
Externí odkaz:
http://arxiv.org/abs/1310.3865
Let $T$ be an arbitrary operator bounded from $L^{p_0}(w)$ into $L^{p_0, \infty}(w)$ for every weight $w$ in the Muckenhoupt class $A_{p_0}$. It is proved in this article that the distribution function of $Tf$ with respect to any weight $u$ can be es
Externí odkaz:
http://arxiv.org/abs/1011.2032