AbstractIn this article, our aim is to prove Hardy's inequality in power-type weighted Lp(⋅)(0,∞) spaces by obtaining regularity condition on the exponents p(⋅), q(⋅) and α(⋅) defined at every point of the domain of test function with u(0)=0 (or vanishing at infinity) under the log-Hölder continuity conditions at the origin and infinity
Given a space of homogeneous type \((X,d,\mu)\), we prove strong-type weighted norm inequalities for...
AbstractInequalities (1) and (2) below are investigated. We show that (1) holds true (for 0 < p < q ...
AbstractAn integral condition on weights u and v is given which is equivalent to the boundedness of ...
Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) in...
It is a well-known fact that in a Lipschitz domain Ω ⊂ R n a p-Hardy inequality, with weight dist(...
We prove that in variable exponent spaces where L-p(.)(Omega), where p(.) satisfies the log-conditio...
Abstract. New results are interspersed with questions and suggestions for further research. The topi...
We prove that in variable exponent spaces Lp(·)(Ω), where p(·) satisfies the log-condition and Ω is ...
AbstractFor bounded Lipschitz domains D in Rn it is known that if 1<p<∞, then for all β∈[0,β0), wher...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
We prove that in variable exponent spaces where L-p(.)(Omega), where p(.) satisfies the log-conditio...
The complete characterization of the Hardy-type Lp-Lq inequalitieson the weighted cones of quasi-con...
The complete characterization of the Hardy-type Lp-Lq inequalitieson the weighted cones of quasi-con...
Given a space of homogeneous type \((X,d,\mu)\), we prove strong-type weighted norm inequalities for...
AbstractInequalities (1) and (2) below are investigated. We show that (1) holds true (for 0 < p < q ...
AbstractAn integral condition on weights u and v is given which is equivalent to the boundedness of ...
Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) in...
It is a well-known fact that in a Lipschitz domain Ω ⊂ R n a p-Hardy inequality, with weight dist(...
We prove that in variable exponent spaces where L-p(.)(Omega), where p(.) satisfies the log-conditio...
Abstract. New results are interspersed with questions and suggestions for further research. The topi...
We prove that in variable exponent spaces Lp(·)(Ω), where p(·) satisfies the log-condition and Ω is ...
AbstractFor bounded Lipschitz domains D in Rn it is known that if 1<p<∞, then for all β∈[0,β0), wher...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequali...
We prove that in variable exponent spaces where L-p(.)(Omega), where p(.) satisfies the log-conditio...
The complete characterization of the Hardy-type Lp-Lq inequalitieson the weighted cones of quasi-con...
The complete characterization of the Hardy-type Lp-Lq inequalitieson the weighted cones of quasi-con...
Given a space of homogeneous type \((X,d,\mu)\), we prove strong-type weighted norm inequalities for...
AbstractInequalities (1) and (2) below are investigated. We show that (1) holds true (for 0 < p < q ...
AbstractAn integral condition on weights u and v is given which is equivalent to the boundedness of ...