Sharp estimates for Jacobi heat kernels in conic domains

Autor: Dawid Hanrahan, Dariusz Kosz

We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone $\mathbb{V}^{d+1}$ and its surface $\mathbb{V}^{d+1}_0$. To do so, we combine the theory of Jacobi polynomials on the cone explored

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b7ced71457a2aec9c10681d59b26a73
http://arxiv.org/abs/2210.14590

On differentiation of integrals\cr in the infinite-dimensional torus

Autor: Dariusz Kosz

Publikováno v: Studia Mathematica. 258:103-119

We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $\mathcal{R}$ in the infinite torus $\mathbb{T}^\omega$. In particular, we prove that $\mathcal{R}$ does not differentiate $L^

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dd2d32088e9a4d8841e1fb56b6363ba6
https://doi.org/10.4064/sm191001-10-2

On relations between weak type and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces

Autor: Dariusz Kosz

Publikováno v: Studia Mathematica. 241:57-70

In this article we study a special class of non-doubling metric measure spaces for which there is a significant difference between the incidence of weak and restricted weak type $(p,p)$ inequalities for the centered and non-centered Hardy--Littlewood

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ba5d82aad90910a8c63279cf6517671
https://doi.org/10.4064/sm8724-5-2017

Dichotomy property for maximal operators in non-doubling setting

Autor: Dariusz Kosz

We investigate a dichotomy property for Hardy--Littlewood maximal operators, non-centered $M$ and centered $M^c$, that was noticed by Bennett, DeVore and Sharpley. We illustrate the full spectrum of possible cases related to the occurrence or not of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8fdabfcbb4ff74818e4a9f1ad3d0025
http://arxiv.org/abs/1903.11938

On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces

Autor: Dariusz Kosz

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 62, Núm. 1 (2018); p. 37-54
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publ. Mat. 62, no. 1 (2018), 37-54
Recercat. Dipósit de la Recerca de Catalunya
instname

In this article we characterize all possible cases that may occur in the relations between the sets of $p$ for which weak type $(p,p)$ and strong type $(p,p)$ inequalities for the Hardy--Littlewood maximal operators, both centered and non-centered, h

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0275f14446528016a2f131dbd6d7dd8a
https://ddd.uab.cat/record/182681