Results 31 to 40 of about 2,210 (149)
The Lusin Theorem and Horizontal Graphs in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2013 In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz ...
Hajłasz Piotr, Mirra Jacob
doaj +1 more source
On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +3 more
wiley +1 more source
On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball
, 2020 In this paper, we study the extremal function for the Trudinger-Moser inequality with vanishing weight in the unit ball B⊂RN (N 3). To be exact, let S be the set of all decreasing radially symmetrical functions and αN = Nω 1/(N−1) N−1 , where ωN−1 is the
Mengjie Zhang
semanticscholar +1 more source
Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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A homogeneity property for Besov spaces
Journal of Function Spaces, Volume 5, Issue 2, Page 123-132, 2007., 2007 A homogeneity property for some Besov spaces Bp,qs is proved. An analogous property for some Fp,qs spaces is already known.
António M. Caetano +3 more
wiley +1 more source
Zero-order Mehler-Fock transform and Sobolev-type space
Mathematical Inequalities & Applications, 2019 The present paper is devoted to the study of the Mehler-Fock transform with index as the Legendre function of first kind. Continuity property of the Mehler-fock transform on the test function spaces Λα and Gα is given.
A. Prasad, U. K. Mandal, S. Verma
semanticscholar +1 more source
Trace theorems for Sobolev‐Slobodeckij spaces with or without weights
Journal of Function Spaces, Volume 5, Issue 3, Page 243-268, 2007., 2007 We prove that the well‐known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev‐Slobodeckij spaces Wps(Ω) when s − 1/p is an integer.
Doyoon Kim, Hans Triebel
wiley +1 more source
Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
Journal of Function Spaces, Volume 5, Issue 1, Page 27-48, 2007., 2007 We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.
Leszek Skrzypczak +2 more
wiley +1 more source
Hölder Inequalities and Sharp Embeddings in Function Spaces of $B^s_{pq}$ and $F^s_{pq}$ Type
, 1995 where in that special case c = 1 may be chosen. With exception of Subsection 1.2, all spaces in this paper are defined on R . This justifies to omit R in the sequel.
W. Sickel, H. Triebel
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On the variation of the discrete maximal operator
, 2020 In this note we study the endpoint regularity properties of the discrete nontangential fractional maximal operator Mα,β f (n) = sup r∈N |m−n| β r 1 (2r +1)1−α r ∑ k=−r | f (m+ k)|, where α ∈ [0,1) , β ∈ [0,∞) and N = {0,1,2, . . .
Feng Liu
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