Adam S. Sikora

activity

19972026

most citedGaussian heat kernel upper bounds via Phragmén-Lindelöf theorem

181 citations · 551 across the 67 of their papers we have counts for

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3 papers · 1 filter

math.FA2022

Hardy spaces meet harmonic weights revisited

Marcin Preisner, Adam Sikora

We investigate Hardy spaces $H_{L}^{1} (X)$ corresponding to self-adjoint operators $L$ . Our main aim is to obtain a description of $H_{L}^{1} (X)$ in terms of atomic decompositions similar…

math.FA2019★ 3 cited

Hardy spaces meet harmonic weights

Marcin Preisner, Adam Sikora, Lixin Yan

We investigate the Hardy space $H_{L}^{1}$ associated with a self-adjoint operator $L$ defined in a general setting in [S. Hofmann, et. al., Hardy spaces associated to non-negative sel…

math.FA2010★ 3 cited

Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers

Xuan Thinh Duong, Adam Sikora, Lixin Yan

Let $L$ be a non-negative self adjoint operator acting on $L^{2} (X)$ where $X$ is a space of homogeneous type. Assume that $L$ generates a holomorphic semigroup $e^{- t L}$ whose kerne…