Search Results - "Stempak, Krzysztof"

Spectral Analysis of an Operator with Fourier-Neumann Expansions Beneath by Stempak, Krzysztof

“…We perform spectral analysis of a Sturm-Liouville operator on L 2 ( R + , d x ) which, through the Liouville transformation, is unitarily equivalent to the…”
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Spectral Properties of Differential–Difference Symmetrized Operators by Stempak, Krzysztof

“…We investigate some spectral properties of differential–difference operators, which are symmetrizations of differential operators of the form ( d † d ) k and (…”
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Harmonic Analysis Associated with the Jacobi–Dunkl Operator on (-π,π): Exotic Cases by Stempak, Krzysztof

“…We investigate some spectral properties of a second order differential-difference operator J α , β on L 2 ( ( - π , π ) , d μ α , β ) , α , β ∈ R , called the…”
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On non-centered maximal operators related to a non-doubling and non-radial exponential measure by Nowak, Adam, Sasso, Emanuela, Sjögren, Peter, Stempak, Krzysztof

“…We investigate mapping properties of non-centered Hardy–Littlewood maximal operators related to the exponential measure d μ ( x ) = exp ( - | x 1 | - ⋯ - | x d…”
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POTENTIAL OPERATORS AND LAPLACE TYPE MULTIPLIERS ASSOCIATED WITH THE TWISTED LAPLACIAN by NOWAK, Adam, STEMPAK, Krzysztof

“…We study potential operators and,more generally,Laplace-Stieltjes and Laplace type multipliers associated with the twisted Laplacian.We characterize those 1 ≤…”
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A Note on Recent Papers by Grafakos and Teschl, and Estrada by Nowak, Adam, Stempak, Krzysztof

“…We indicate how recent results of Grafakos and Teschl (J Fourier Anal Appl 19:167–179, 2013 ), and Estrada (J Fourier Anal Appl 20:301–320, 2014 ), relating…”
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Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers by Stempak, Krzysztof

“…Using purely analytic tools we prove genuinely sharp two-sided global estimates for the Dirichlet heat kernel on planar cones with apertures π/3 and π/4,…”
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Riesz transforms and conjugacy for Laguerre function expansions of Hermite type by Nowak, Adam, Stempak, Krzysztof

“…Riesz transforms and conjugate Poisson integrals for multi-dimensional Laguerre function expansions of Hermite type with index α are defined and investigated…”
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Harmonic oscillator on Weyl chambers by Stempak, Krzysztof

“…Let C+ denote a Weyl chamber distinguished in the framework of a finite reflection group W acting on Rd. We consider the harmonic oscillator −Δ+|x|2 as an…”
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The Laplacian with mixed Dirichlet-Neumann boundary conditions on Weyl chambers by Stempak, Krzysztof

“…Let W be a finite reflection group associated with a root system R in Rd. Let C+ denote a positive Weyl chamber distinguished by a choice of R+, a set of…”
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Local Morrey and Campanato Spaces on Quasimetric Measure Spaces by Stempak, Krzysztof, Tao, Xiangxing

“…We define and investigate generalized local Morrey spaces and generalized local Campanato spaces, within a context of a general quasimetric measure space. The…”
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Imaginary Powers of the Dunkl Harmonic Oscillator by Nowak, Adam

“…In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to…”
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Transplantation and multiplier theorems for Fourier-Bessel expansions by CIAURRI, Oscar, STEMPAK, Krzysztof

“…Proved are weighted transplantation inequalities for Fourier-Bessel expansions. These extend known results on this subject by considering the largest possible…”
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Weighted transplantation for Fourier-Bessel series by Ciaurri, Óscar, Stempak, Krzysztof

“…We prove weighted transplantation inequalities for Fourier-Bessel series with weights more general than previously considered power weights. These inequalities…”
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A weighted uniform L^{p}--estimate of Bessel functions: A note on a paper of Guo by Stempak, Krzysztof

“…An improved Guo's uniform L^{p} estimate of Bessel functions is shown by using a uniform pointwise bound of Barceló and Córdoba…”
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Potential operators associated with Hankel and Hankel-Dunkl transforms by Nowak, Adam, Stempak, Krzysztof

“…We study Riesz and Bessel potentials in the settings of Hankel transform, modified Hankel transform and Hankel-Dunkl transform. We prove sharp or qualitatively…”
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ON SOME STRUCTURAL PROPERTIES OF SPACES OF HOMOGENEOUS TYPE by Stempak, Krzysztof

“…We prove that every space of homogeneous type (X, ρ, μ) is either an LCH space andμis a Radon measure, orXmay be identified as a dense subset, with inherited…”
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Divergent Laguerre series by Stempak, Krzysztof

“…We prove failure of a.e. convergence of partial sums of Laguerre expansions of L^{p} functions for p>4. The idea which is used goes back to Stanton and Tomas…”
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Sharp Estimates for Potential Operators Associated with Laguerre and Dunkl-Laguerre Expansions by Nowak, Adam, Stempak, Krzysztof

“…We study potential operators associated with Laguerre function expansions of convolution and Hermite types, and with Dunkl-Laguerre expansions. We prove…”
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Transplantation Theorems—A Survey by Stempak, Krzysztof

“…In this survey article we overview transplantation theorems for several types of continuous and discrete orthogonal expansions. These include: Hankel and Dunkl…”
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