Zobrazeno 1 - 10
of 267
pro vyhledávání: '"Oikari P"'
Autor:
Hänninen, Timo S., Oikari, Tuomas V.
Let $(F_i)$ be a sequence of sets in a Banach space $X$. For what sequences does the condition $$ \limsup_{i\to \infty} \sup_{f_i\in F_i} \|Tf_i\|_Y=0 $$ hold for every Banach space $Y$ and every compact operator $T:X\to Y$? We answer this question b
Externí odkaz:
http://arxiv.org/abs/2411.17654
Autor:
Martikainen, Henri, Oikari, Tuomas
We prove compactness results and characterizations for the bi-commutator $[T_1,[b, T_2]]$ of a symbol $b$ and two non-degenerate Calder\'on-Zygmund singular integral operators $T_1, T_2$. Our strategy for proving sufficient conditions for compactness
Externí odkaz:
http://arxiv.org/abs/2405.05460
We complete the $L^p$ boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers all monomial curves while previous results had significant geometric
Externí odkaz:
http://arxiv.org/abs/2403.08338
Autor:
Oikari, Tuomas
In this note we remark that classical compactness interpolation methods show that the optimal sufficient conditions for the $L^p$-to-$L^q$ compactness of commutators of Calder\'on-Zygmund operators in the ranges $qp$ quickly follo
Externí odkaz:
http://arxiv.org/abs/2402.04993
For an arbitrary subset $E\subset\mathbb{R}^n,$ we introduce and study the three vanishing subspaces of the H\"older space $\dot{C}^{0,\omega}(E)$ consisting of those functions for which the ratio $|f(x)-f(y)|/\omega(|x-y|)$ vanishes, when $(1)$ $|x-
Externí odkaz:
http://arxiv.org/abs/2401.14156
Autor:
Mudarra, Carlos, Oikari, Tuomas
We introduce new vanishing subspaces of the homogeneous H\"{o}lder space $\dot{C}^{0,\omega}(X,Y),$ in the generality of a doubling modulus $\omega$ and normed spaces $X$ and $Y.$ For many couples $X,Y,$ we show these vanishing subspaces to completel
Externí odkaz:
http://arxiv.org/abs/2401.01695
Autor:
Oikari, Tuomas
For exponents $p,q\in (1,\infty),$ we study the $L^p$-to-$L^q$ boundedness and compactness of the commutator $[b,H_{\gamma}] = bH_{\gamma} - H_{\gamma}b,$ where $H_{\gamma}$ is the Hilbert transform along the monomial curve $\gamma$ and the function
Externí odkaz:
http://arxiv.org/abs/2304.00621
Autor:
Joanna M. Wasielewska, Juliana C. S. Chaves, Mauricio Castro Cabral-da-Silva, Martina Pecoraro, Stephani J. Viljoen, Tam Hong Nguyen, Vincenzo La Bella, Lotta E. Oikari, Lezanne Ooi, Anthony R. White
Publikováno v:
Fluids and Barriers of the CNS, Vol 21, Iss 1, Pp 1-20 (2024)
Abstract Background Amyotrophic lateral sclerosis (ALS) is a rapidly progressing neurodegenerative disorder with minimally effective treatment options. An important hurdle in ALS drug development is the non-invasive therapeutic access to the motor co
Externí odkaz:
https://doaj.org/article/8207c90e135c40859406d7de78f6d21d
Autor:
Nina Höglund, Heini Rossi, Hanna-Maaria Javela, Sanna Oikari, Petteri Nieminen, Anne-Mari Mustonen, Niina Airas, Vesa Kärjä, Anna Mykkänen
Publikováno v:
BMC Veterinary Research, Vol 20, Iss 1, Pp 1-11 (2024)
Abstract Background Equine asthma (EA) is a chronic lower airway inflammation that leads to structural and functional changes. Hyaluronic acid (HA) has crucial functions in the extracellular matrix homeostasis and inflammatory mediator activity. HA c
Externí odkaz:
https://doaj.org/article/ac89b01b76b74a57a1d70b0ca1792183
Publikováno v:
Forum Mathematicum, 2023
Let $T$ be a non-degenerate Calder\'on-Zygmund operator and let $b:\mathbb{R}^d\to\mathbb{C}$ be locally integrable. Let $1
Externí odkaz:
http://arxiv.org/abs/2207.01385