Osękowski, Adam A sharp \(L^p\) estimate for the total variation process. (English) Zbl 07803694 Stat. Probab. Lett. 206, Article ID 109997, 5 p. (2024). MSC: 60G42 60G44 PDFBibTeX XMLCite \textit{A. Osękowski}, Stat. Probab. Lett. 206, Article ID 109997, 5 p. (2024; Zbl 07803694) Full Text: DOI
Osękowski, Adam An extension of Pratelli’s inequality. (English) Zbl 1474.60118 Stat. Probab. Lett. 177, Article ID 109175, 6 p. (2021). MSC: 60G44 60G42 PDFBibTeX XMLCite \textit{A. Osękowski}, Stat. Probab. Lett. 177, Article ID 109175, 6 p. (2021; Zbl 1474.60118) Full Text: DOI
Kamiński, Łukasz; Osękowski, Adam Sharp Lorentz-norm estimates for BMO martingales. (English) Zbl 1474.60117 Stat. Probab. Lett. 173, Article ID 109068, 7 p. (2021). MSC: 60G44 46E30 PDFBibTeX XMLCite \textit{Ł. Kamiński} and \textit{A. Osękowski}, Stat. Probab. Lett. 173, Article ID 109068, 7 p. (2021; Zbl 1474.60117) Full Text: DOI
Akboudj, Meryem; Jiao, Yong; Osękowski, Adam Weak-\( L^\infty\) inequality for non-symmetric martingale transforms and Haar system. (English) Zbl 1460.60028 Stat. Probab. Lett. 163, Article ID 108778, 6 p. (2020). MSC: 60G42 60G44 PDFBibTeX XMLCite \textit{M. Akboudj} et al., Stat. Probab. Lett. 163, Article ID 108778, 6 p. (2020; Zbl 1460.60028) Full Text: DOI
Brzozowski, Michał; Osękowski, Adam Sharp weighted weak type \((\infty, \infty)\) inequality for differentially subordinate martingales. (English) Zbl 1422.60069 Stat. Probab. Lett. 155, Article ID 108561, 9 p. (2019). MSC: 60G44 PDFBibTeX XMLCite \textit{M. Brzozowski} and \textit{A. Osękowski}, Stat. Probab. Lett. 155, Article ID 108561, 9 p. (2019; Zbl 1422.60069) Full Text: DOI
Osȩkowski, Adam On the action of the Hilbert transform on \(\ell_1^N\)-valued functions. (English) Zbl 1415.60041 Stat. Probab. Lett. 146, 213-223 (2019). MSC: 60G42 60G44 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 146, 213--223 (2019; Zbl 1415.60041) Full Text: DOI
Osȩkowski, Adam A Fefferman-Stein inequality for the martingale square and maximal functions. (English) Zbl 1386.60160 Stat. Probab. Lett. 129, 81-85 (2017). MSC: 60G44 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 129, 81--85 (2017; Zbl 1386.60160) Full Text: DOI
Brzozowski, Michał; Osȩkowski, Adam; Rapicki, Mateusz Sharp weighted weak-norm estimates for maximal functions. (English) Zbl 1375.42031 Stat. Probab. Lett. 131, 93-101 (2017). MSC: 42B25 60G44 PDFBibTeX XMLCite \textit{M. Brzozowski} et al., Stat. Probab. Lett. 131, 93--101 (2017; Zbl 1375.42031) Full Text: DOI
Osȩkowski, Adam Weighted inequalities for the martingale square and maximal functions. (English) Zbl 1352.60063 Stat. Probab. Lett. 120, 95-100 (2017). MSC: 60G44 60G46 42B25 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 120, 95--100 (2017; Zbl 1352.60063) Full Text: DOI
Osȩkowski, Adam A sharp maximal inequality for one-dimensional Dunkl martingales. (English) Zbl 1328.60112 Stat. Probab. Lett. 105, 114-119 (2015). MSC: 60G44 60G40 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 105, 114--119 (2015; Zbl 1328.60112) Full Text: DOI
Osȩkowski, Adam Sharp \(L^1(\ell^q)\) estimate for a sequence and its predictable projection. (English) Zbl 1333.60084 Stat. Probab. Lett. 104, 82-86 (2015). MSC: 60G42 46E30 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 104, 82--86 (2015; Zbl 1333.60084) Full Text: DOI
Osȩkowski, Adam Sharp \(L^2 \log L\) inequalities for the Haar system and martingale transforms. (English) Zbl 1343.60048 Stat. Probab. Lett. 94, 91-97 (2014). MSC: 60G42 42B25 26D15 46E30 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 94, 91--97 (2014; Zbl 1343.60048) Full Text: DOI
Osȩkowski, Adam A weak-type inequality for the martingale square function. (English) Zbl 1307.60045 Stat. Probab. Lett. 95, 139-143 (2014). Reviewer: Neville Weber (Sydney) MSC: 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 95, 139--143 (2014; Zbl 1307.60045) Full Text: DOI
Osȩkowski, Adam Inequalities for martingales taking values in 2-convex Banach spaces. (English) Zbl 1295.60051 Stat. Probab. Lett. 84, 102-107 (2014). MSC: 60G42 46C15 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 84, 102--107 (2014; Zbl 1295.60051) Full Text: DOI
Osȩkowski, Adam A prophet inequality for \(L^2\)-martingales. (English) Zbl 1323.60059 Stat. Probab. Lett. 83, No. 10, 2319-2323 (2013). MSC: 60G42 60G40 60E15 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 83, No. 10, 2319--2323 (2013; Zbl 1323.60059) Full Text: DOI
Osękowski, Adam On martingales whose exponential processes satisfy Muckenhoupt’s condition \(A_1\). (English) Zbl 1281.60044 Stat. Probab. Lett. 83, No. 8, 1849-1853 (2013). MSC: 60G44 60G46 PDFBibTeX XMLCite \textit{A. Osękowski}, Stat. Probab. Lett. 83, No. 8, 1849--1853 (2013; Zbl 1281.60044) Full Text: DOI
Osȩkowski, Adam Best constants in the weak type inequalities for a martingale conditional square function. (English) Zbl 1248.60048 Stat. Probab. Lett. 82, No. 5, 885-893 (2012). Reviewer: Christos E. Kountzakis (Karlovassi) MSC: 60G42 60G44 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 82, No. 5, 885--893 (2012; Zbl 1248.60048) Full Text: DOI
Osȩkowski, Adam Weak norm inequalities for martingales and geometry of Banach spaces. (English) Zbl 1242.60042 Stat. Probab. Lett. 82, No. 3, 411-418 (2012). MSC: 60G42 46C15 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 82, No. 3, 411--418 (2012; Zbl 1242.60042) Full Text: DOI
Osȩkowski, Adam Inequalities for martingale transforms and related characterizations of Hilbert spaces. (English) Zbl 1230.60045 Stat. Probab. Lett. 82, No. 1, 186-190 (2012). MSC: 60G42 46C15 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 82, No. 1, 186--190 (2012; Zbl 1230.60045) Full Text: DOI
Osȩkowski, Adam Sharp maximal inequality for nonnegative martingales. (English) Zbl 1227.60058 Stat. Probab. Lett. 81, No. 12, 1945-1952 (2011). MSC: 60G44 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 81, No. 12, 1945--1952 (2011; Zbl 1227.60058) Full Text: DOI
Osȩkowski, Adam Weak type inequalities for conditionally symmetric martingales. (English) Zbl 1489.60067 Stat. Probab. Lett. 80, No. 23-24, 2009-2013 (2010). MSC: 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 80, No. 23--24, 2009--2013 (2010; Zbl 1489.60067) Full Text: DOI HAL
Osȩkowski, Adam Sharp maximal bound for continuous martingales. (English) Zbl 1203.60045 Stat. Probab. Lett. 80, No. 17-18, 1405-1408 (2010). MSC: 60G44 60E15 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 80, No. 17--18, 1405--1408 (2010; Zbl 1203.60045) Full Text: DOI
Osȩkowski, Adam Logarithmic estimates for nonsymmetric martingale transforms. (English) Zbl 1195.60030 Stat. Probab. Lett. 80, No. 7-8, 678-682 (2010). MSC: 60E15 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 80, No. 7--8, 678--682 (2010; Zbl 1195.60030) Full Text: DOI
Osȩkowski, Adam Sharp norm comparison of the maxima of a sequence and its predictable projection. (English) Zbl 1176.60012 Stat. Probab. Lett. 79, No. 16, 1784-1788 (2009). MSC: 60E15 60G05 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 79, No. 16, 1784--1788 (2009; Zbl 1176.60012) Full Text: DOI
Osȩkowski, Adam On the best constant in the weak type inequality for the square function of a conditionally symmetric martingale. (English) Zbl 1167.60327 Stat. Probab. Lett. 79, No. 13, 1536-1538 (2009). MSC: 60G42 PDFBibTeX XMLCite \textit{A. Osȩkowski}, Stat. Probab. Lett. 79, No. 13, 1536--1538 (2009; Zbl 1167.60327) Full Text: DOI