Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Wr��bel, B��a��ej"'
Autor:
Kucharski, Maciej, Wr��bel, B��a��ej
W prove a dimension-free estimate for the $L^2(\mathbb{R}^d)$ norm of the maximal truncated Riesz transform in terms of the $L^2(\mathbb{R}^d)$ norm of the Riesz transform. Consequently, the vector of maximal truncated Riesz transforms has a dimensio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c8b86a19a530553b6662e3f4415b410
Autor:
Meda, Stefano, Wr��bel, B��a��ej
In this paper we prove a Marcinkiewicz-type multiplier result for the spherical Fourier transform on products of rank one noncompact symmetric spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6993e824205804a9afcf4ef7af3cde2
This is a survey article about recent developments in dimension-free estimates for maximal functions corresponding to the Hardy--Littlewood averaging operators associated with convex symmetric bodies in $\mathbb R^d$ and $\mathbb Z^d$.
24 pages,
24 pages,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d41f394c311f620a69608a7088a3161
http://arxiv.org/abs/1812.00153
http://arxiv.org/abs/1812.00153
Dimension-free bounds will be provided in maximal and $r$-variational inequalities on $\ell^p(\mathbb Z^d)$ corresponding to the discrete Hardy-Littlewood averaging operators defined over the cubes in $\mathbb Z^d$. We will also construct an example
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f261df48fe685fb62648c78ecc1fb41
http://arxiv.org/abs/1804.07679
http://arxiv.org/abs/1804.07679
Autor:
Ricci, Fulvio, Wr��bel, B��a��ej
We prove an $L^p$ spectral multiplier theorem for functions of the $K$-invariant sublaplacian $L$ acting on the space of functions of fixed $K$-type on the group $SL(2,\mathbb{R}).$ As an application we compute the joint $L^p(SL(2,\mathbb{R}))$ spect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb3203132074166cd48fe1d66b48b31f
Dimension-free $L^p$ estimates for vectors of Riesz transforms associated with orthogonal expansions
Autor:
Wr��bel, B��a��ej
An explicit Bellman function is used to prove a bilinear embedding theorem for operators associated with general multi-dimensional orthogonal expansions on product spaces. This is then applied to obtain $L^p,$ $1
27 pages, to appear in Analysis
27 pages, to appear in Analysis
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https://explore.openaire.eu/search/publication?articleId=doi_________::c1ec2334ef7098e555d478f131c56185
Autor:
Wr��bel, B��a��ej
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multipliers assoc
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https://explore.openaire.eu/search/publication?articleId=doi_________::d684db0fe2d122b9ef775d5a26bea33a
Autor:
Dziuba��ski, Jacek, Wr��bel, B��a��ej
We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space $H^1_L$ introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26fee7085a51a3cb686acd4efb5182ff
Autor:
Wr��bel, B��a��ej
We prove that the existence of a Mihlin-H��rmander functional calculus for an operator $L$ implies the boundedness on $L^p$ of both the maximal operators and the continuous square functions build on spectral multipliers of $L.$ The considered mul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bcb115b2b2a15812290c89f1a16f3ad
Autor:
Wr��bel, B��a��ej
We obtain a general Marcinkiewicz-type multiplier theorem for mixed systems of strongly commuting operators $L=(L_1,...,L_d);$ where some of the operators in $L$ have only a holomorphic functional calculus, while others have additionally a Marcinkiew
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https://explore.openaire.eu/search/publication?articleId=doi_________::0a5fd613eb52cce32a2e85642dc4d096