Function spaces on fractals, and envelopes

• Applicant: Professorin Dr. Dorothee Haroske
• Subject Area: Mathematics
• Term: from 2003 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5401849

• Final Report Year: 2012

Final Report Abstract

No abstract available

Publications

• Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers. J. Approx. Theory 128(2):151-174, 2004
  D.D. Haroske and S.D. Moura
  
• Continuity envelopes of spaces of generalised smoothness : a limiting case; embeddings and approximation numbers. J. Funct. Spaces Appl. 3(1):33-71, 2005
  A.M. Caetano and D.D. Haroske
  
• Wavelet bases and entropy numbers in weighted function spaces. Math. Nachr. 278(1-2):108-132, 2005
  D.D. Haroske and H. Triebel
  
• Envelope functions in real interpolation spaces. A first approach. In L. De Carli and M. Milman, editors. Interpolation Theory and Applications, volume 445 of Contemp. Math., pages 93-102, AMS, Providence, RL, 2007
  D.D. Haroske
  
• Envelopes and Sharp Embeddings of Function Spaces. Chapman &. Hall/CRC Research Notes in Mathematics, Vol. 437. 237 pages. Chapman &. Hall/CRC, Boca Raton, FL, 2007
  D.D. Haroske
  
• Growth envelope functions in Besov and Sobolev spaces. Local versus global results. Math. Nachr, 280(9-10):1094-1107, 2007
  D.D. Haroske
  
• Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis. Math. Nachr. 281(10):1476-1494, 2008
  D.D. Haroske and I. Piotrowska
  
• Continuity envelopes and sharp embeddings in spaces of generalized smoothness. J. Funct. Anal. 254(6):1487-1521, 2008
  D.D. Haroske and S.D. Moura
  
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, I. Rev. Mat. Complut. 21(1):135-177, 2008
  D.D. Haroske and L. Skrzypczak
  
• Growth envelopes in Muckenhoupt weighted function spaces: the general case. Funct. Approx. Comment. Math. 42(2):169-216, 2010
  D.D. Haroske
  
• On trace spaces of function spaces with a radial weight: the atomic approach. Complex Var. Elliptic Equ. 55(8-10):875-896, 2010
  D.D. Haroske and H.-J. Schmeisser
  
• Spectral theory of some degenerate elliptic operators with local singularities. J. Math. Anal. AppL. 371(1):282-299, 2010
  D.D. Haroske and L. Skrzypczak
  
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights. Ann. Acad. Sci. Fenn. Math. 36:111-138, 2011
  D.D. Haroske and L. Skrzypczak
  
• Dichotomy in Muckenhoupt weighted function space: A fractal example. In B.M. Brown, J. Lang, and I. Wood, editors. Spectral Theory, Function Spaces and Inequalities. New Techniques and Recent Trends, volume 219 of Operator Theory: Advances and Applications, pages 69-89. Springer, Basel. 2012
  D.D. Haroske