Sharp Localized Inequalities for Fourier Multipliers

Oşekowski, Adam

doi:10.4153/cjm-2013-050-5

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…55 The Ministry of Public Security recruited almost 50 per cent of those sitting on electoral boards, who assisted in another planned fraud. 56 On 10 January 1947 the group led by Colonel Palkin once again arrived in Warsaw. 57 Palkin reported to Stalin that in order to maintain full conspiracy, Bierut and the leading circles of the Polish Workers' Party were ordered to take additional steps which included: changing ballot boxes in some constituencies, increasing the vote share of the favoured candidates, and preparing two versions of the election reportsone of which missed the figureswhere the election boards were free from the PSL-recruited men of confidence.…”

Section: First Electoral Experiences In Post-war Polandmentioning

confidence: 99%

A Polish Invention or a Copy of the Soviet Model? Electoral Practices during Parliamentary Elections in Poland under the Communist Rule (1944–1980)

Siedziako

2022

Contemporary European History

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One of the main characteristics of the Soviet domination sphere in Europe after the Second World War was the unification of political systems of the countries within the Soviet Union. This paper examines the Soviet impact on the electoral system of the People's Republic of Poland, a country often considered to have been the most unique among the Eastern European states. This article argues that although there were some important differences between the electoral codes in the USSR and communist-led Poland, the effects of the elections in both countries were the same: popular voting could not pose any threat to the power of their communist parties. This resulted from practices – similar in both countries – not included in the electoral law. This leads to the conclusion that the differences between the elections in the Soviet Union and post-war Poland were rather illusory.

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Section: First Electoral Experiences In Post-war Polandmentioning

confidence: 99%

A Polish Invention or a Copy of the Soviet Model? Electoral Practices during Parliamentary Elections in Poland under the Communist Rule (1944–1980)

Siedziako

2022

Contemporary European History

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“…Finally, we will need the following sharp L q → L p estimate, established by Ose ¸kowski in [43], which will allow us to deduce the corresponding estimate for Riesz transforms.…”

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confidence: 99%

“…Actually, the paper [43] identifies, for any p and q as above, the optimal (i.e., the least) value of the constant L p,q in the estimate above. As the description of this constant is a little complicated (and will not be needed in our considerations below), we refer the reader to that paper for the formal definition of L p,q .…”

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confidence: 99%

Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order

Domelevo

Oşekowski

Petermichl

2018

50 Years With Hardy Spaces

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We give several sharp estimates for a class of combinations of second order Riesz transforms on Lie groups = x × y that are multiply connected, composed of a discrete abelian component x and a connected component y endowed with a biinvariant measure. These estimates include new sharp L p estimates via Choi type constants, depending upon the multipliers of the operator. They also include weaktype, logarithmic and exponential estimates. We give an optimal L q → L p estimate as well.It was shown recently by Arcozzi-Domelevo-Petermichl that such second order Riesz transforms applied to a function may be written as conditional expectation of a simple transformation of a stochastic integral associated with the function.The proofs of our theorems combine this stochastic integral representation with a number of deep estimates for pairs of martingales under strong differential subordination by Choi, Banuelos and Osȩkowski.When two continuous directions are available, sharpness is shown via the laminates technique. We show that sharpness is preserved in the discrete case using Lax-Richtmyer theorem.

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Sharp estimates for martingale transforms with unbounded transforming sequences

Gałązka

Oşekowski

2023

Electron. J. Probab.

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Sharp Localized Inequalities for Fourier Multipliers

Cited by 3 publications

References 33 publications

A Polish Invention or a Copy of the Soviet Model? Electoral Practices during Parliamentary Elections in Poland under the Communist Rule (1944–1980)

A Polish Invention or a Copy of the Soviet Model? Electoral Practices during Parliamentary Elections in Poland under the Communist Rule (1944–1980)

Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order

Sharp estimates for martingale transforms with unbounded transforming sequences

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