Singular points of Hölder asymptotically optimally doubling measures
نویسندگان
چکیده
منابع مشابه
Generalized Helices and Singular Points
In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.
متن کاملMore about measures and Jacobians of singular random matrices
In this work are studied the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.
متن کاملDoubling Measures, Monotonicity, and Quasiconformality
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...
متن کاملOn fractional calculus associated to doubling and non-doubling measures
In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...
متن کاملNull Sets for Doubling and Dyadic Doubling Measures
In this note, we study sets on the real line which are null with respect to all doubling measures on R, or with respect to all dyadic doubling measures on R. We give some suucient conditions for the former, a test for the latter, and some examples. Our work is motivated by a characterization of dyadic doubling measures by Feeerman, Kenig and Pipher 5], and by a result of Martio 8] on porous set...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2015
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-015-0918-y