Search Results - "Lenka Slavíková"
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On the necessity of bump conditions for the two-weighted maximal inequality
Published in Proceedings of the American Mathematical Society (01-01-2017)“…We study the necessity of bump conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted L^p spaces with different weights. The…”
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Identifying barriers for nature-based solutions in flood risk management: An interdisciplinary overview using expert community approach
Published in Journal of environmental management (15-05-2022)“…The major event that hit Europe in summer 2021 reminds society that floods are recurrent and among the costliest and deadliest natural hazards. The long-term…”
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Investigating the public perception of green, hybrid and grey flood risk management measures in Europe
Published in Progress in disaster science (01-10-2024)“…Climate change is expected to affect the frequency and magnitude of floods, which are among the costliest hazards in Europe. As natural hazards have a…”
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L^2\times L^2 \rightarrow L^1$$L2×L2→L1 boundedness criteria
Published in Mathematische annalen (01-02-2020)Get full text
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L2×L2→L1 boundedness criteria
Published in Mathematische annalen (2020)“…We obtain a sharp L 2 × L 2 → L 1 boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic…”
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Mitigation of Concurrent Flood and Drought Risks Through Land Modifications: Potential and Perspectives of Land Users
Published in Annual review of environment and resources (13-11-2023)“…Modifications to land can serve to jointly reduce risks of floods and droughts to people and to ecosystems. Whether land modifications are implemented will…”
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Bilinear Fourier multipliers and the rate of decay of their derivatives
Published in Journal of approximation theory (01-01-2021)“…We investigate two types of boundedness criteria for bilinear Fourier multiplier operators with symbols with bounded partial derivatives of all (or…”
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Multilinear singular integrals with homogeneous kernels near L1
Published in Mathematische annalen (2024)“…We obtain the optimal open range of L p 1 ( R n ) × ⋯ × L p m ( R n ) → L p ( R n ) bounds for multilinear singular integral operators with homogeneous kernels…”
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Impacts of Climate Variables on Residential Water Consumption in the Czech Republic
Published in Water resources management (2013)“…The paper investigates whether there is a statistically significant impact of short-term climate variables (specifically air temperature and rainfall) on…”
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A Sharp Version of the Hörmander Multiplier Theorem
Published in International mathematics research notices (01-08-2019)“…We provide an improvement of the Hörmander multiplier theorem in which the Sobolev space ${{L^{r}_{s}}}(\mathbb R^{n})$ with integrability index r and…”
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Higher-order Sobolev embeddings and isoperimetric inequalities
Published in Advances in mathematics (New York. 1965) (19-03-2015)“…Optimal higher-order Sobolev type embeddings are shown to follow via isoperimetric inequalities. This establishes a higher-order analogue of a well-known link…”
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Fractional Orlicz-Sobolev embeddings
Published in Journal de mathématiques pures et appliquées (01-05-2021)“…The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–Sobolev spaces in Rn. An improved embedding with an Orlicz–Lorentz…”
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On the Limit as s→0+ of Fractional Orlicz–Sobolev Spaces
Published in The Journal of fourier analysis and applications (2020)“…An extended version of the Maz’ya–Shaposhnikova theorem on the limit as s → 0 + of the Gagliardo–Slobodeckij fractional seminorm is established in the Orlicz…”
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Higher-order Sobolev embeddings into spaces of Campanato and Morrey type
Published in Nonlinear analysis (01-02-2025)“…Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized)…”
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Local bounds for singular Brascamp–Lieb forms with cubical structure
Published in Mathematische Zeitschrift (01-12-2022)“…We prove a range of L p bounds for singular Brascamp–Lieb forms with cubical structure. We pass through sparse and local bounds, the latter proved by an…”
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On fractional Orlicz–Sobolev spaces
Published in Analysis and mathematical physics (01-06-2021)“…Some recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal…”
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Boundedness of functions in fractional Orlicz–Sobolev spaces
Published in Nonlinear analysis (01-05-2023)“…A necessary and sufficient condition for fractional Orlicz–Sobolev spaces to be continuously embedded into L∞(Rn) is exhibited. Under the same assumption, any…”
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A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type
Published in Journal of functional analysis (01-02-2022)“…Given a bounded measurable function σ on Rn, we let Tσ be the operator obtained by multiplication on the Fourier transform by σ. Let 0<s1≤s2≤⋯≤sn<1 and ψ be a…”
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Multilinear singular integrals with homogeneous kernels near $$L^1
Published in Mathematische annalen (01-07-2024)Get full text
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On the modulus of continuity of fractional Orlicz-Sobolev functions
Published in Mathematische annalen (02-09-2024)“…Necessary and sufficient conditions are presented for a fractional Orlicz-Sobolev space on $${\mathbb {R}}^n$$ R n to be continuously embedded into a space of…”
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