It is proved that for an arbitrary extension operator T : W-p(m)(-infinity ,0) --> W-p(m)(-infinity,infinity) its norm cannot be less than epsilon (2m)(0)m(-1/2p), epsilon (0) > 0. Previously only the upper estimates (less than or equal to 8(m)) for these norms were known
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
Let there be given a non-negative, quasiconvex function F satisfying the growth condition lim supA→∞...
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
Let Omega be a domain in {bf R}^n satisfying a cone condition or partialOmegain {rm Lip},1. The auth...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimat...
We prove that if a domain $\Omega$ on the Heisenberg group $\IH\sp{n}$ satisfies the $(\epsilon ,\de...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
Consider the Sobolev embedding operator from the space of functions in W-1,W-p(I) with average zero ...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
Explicit upper and lower estimates are given for the norms of the operators of embedding of W̊2 n(-1...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
In this paper we study how the (normalised) Gagliardo semi-norms [u]Ws,p(Rn) control translations. I...
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
Let there be given a non-negative, quasiconvex function F satisfying the growth condition lim supA→∞...
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
Let Omega be a domain in {bf R}^n satisfying a cone condition or partialOmegain {rm Lip},1. The auth...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimat...
We prove that if a domain $\Omega$ on the Heisenberg group $\IH\sp{n}$ satisfies the $(\epsilon ,\de...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
Consider the Sobolev embedding operator from the space of functions in W-1,W-p(I) with average zero ...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
Explicit upper and lower estimates are given for the norms of the operators of embedding of W̊2 n(-1...
AbstractThere are two main results in the paper. In the first one, Theorem 1, we prove that if the S...
In this paper we study how the (normalised) Gagliardo semi-norms [u]Ws,p(Rn) control translations. I...
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
Let there be given a non-negative, quasiconvex function F satisfying the growth condition lim supA→∞...
Extended erratum to ``On some questions of topology for $S^1$-valued fractional Sobolev spaces'' of ...
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