Papers

• B.D. The fractional Hardy inequality with a remainder term. Colloq. Math. 122 (2011), 59-67. arXiv:0907.4448v2, doi: 104064/cm122-1-6.
• Krzysztof Bogdan, B.D. The best constant in a fractional Hardy inequality, Mathematische Nachrichten, n/a. doi: 10.1002/mana.200810109, arXiv:0807.1825v1
• B.D. Embedding theorems for Lipschitz and Lorentz spaces on lower Ahlfors regular sets. Studia Math. 197 (2010), 247-256.
• B.D.; Tadeusz Kulczycki. Spectral gap for stable process on convex planar double symmetric domains. Potential Anal. 27 (2007), no. 2, 101--132. MR2322501, arXiv:math/0610283v1.
• B.D. On comparability of integral forms. J. Math. Anal. Appl. 318 (2006), no. 2, 564--577. MR2215170
• B.D. A fractional order Hardy inequality. Illinois J. Math. 48 (2004), no. 2, 575--588. MR2085428
• Krzysztof Bogdan, B.D. Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains. Studia Math. 157 (2003), no. 1, 83--96. MR1980119

Preprints

• B.D., Moritz Kassmann. Comparability and regularity estimates for symmetric nonlocal Dirichlet forms. arXiv:1109.6812v2
• B.D., Rupert L. Frank. Fractional Hardy-Sobolev-Maz'ya inequality for domains. arXiv:1109.6570v1
• Krzysztof Bogdan, B.D., Tomasz Luks. On Hardy spaces. arXiv:1109.0210v2
• B.D. Fractional calculus for power functions. arXiv:1103.3387v1