Add to ORKGn this paper we introduce several iterated convolutions and establish weighted $L_p,\ p>1,-$ norm inequalities for them by using the H\"{o}lder’s inequality and the transform of integrals. Applications to wave and heat equations, Klein-Gordon equation are also considered. Especially, we will see their applications to inhomogeneous differential equations
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms t...
AbstractWe present a weighted norm inequality involving convolutions of arbitrary analytic functions...
(L_v)^t (R) = {f: || f ||_v = INTEGRAL: INFINITY, -INFINITY | f(t) | For a large class of weights v ...
n this paper we introduce several iterated convolutions and establish weighted $L_p,\ p>1,-$ norm in...
In this paper we introduce several iterated convolutions and establish weighted Lp, p> 1, − norm ...
By using reverse H\"{o}lder's inequalities we obtain reverse weighted $L_p$ norm inequalities for va...
By using reverse H\"{o}lder's inequalities we obtain reverse weighted $L_p$ norm inequalities for va...
(communicated by S. Saitoh) Abstract. In this paper, wegive somenew typeof convolution inequalities ...
Weighted (L-p,L-q) inequalities are studied for a variety of integral transforms of Fourier type. In...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
In this paper, we prove analogues of O'\''Neil'\''s inequalities for the convolution in the weighted...
AbstractWeighted norm inequalities for the Fourier transform have a long history, motivated in part ...
AbstractWeighted norm inequalities for the Fourier transform have a long history, motivated in part ...
ABSTRACT. Various weighted Lp (p> 1)–norm inequalities in convolutions were derived by using Höld...
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms t...
AbstractWe present a weighted norm inequality involving convolutions of arbitrary analytic functions...
(L_v)^t (R) = {f: || f ||_v = INTEGRAL: INFINITY, -INFINITY | f(t) | For a large class of weights v ...
n this paper we introduce several iterated convolutions and establish weighted $L_p,\ p>1,-$ norm in...
In this paper we introduce several iterated convolutions and establish weighted Lp, p> 1, − norm ...
By using reverse H\"{o}lder's inequalities we obtain reverse weighted $L_p$ norm inequalities for va...
By using reverse H\"{o}lder's inequalities we obtain reverse weighted $L_p$ norm inequalities for va...
(communicated by S. Saitoh) Abstract. In this paper, wegive somenew typeof convolution inequalities ...
Weighted (L-p,L-q) inequalities are studied for a variety of integral transforms of Fourier type. In...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The up...
In this paper, we prove analogues of O'\''Neil'\''s inequalities for the convolution in the weighted...
AbstractWeighted norm inequalities for the Fourier transform have a long history, motivated in part ...
AbstractWeighted norm inequalities for the Fourier transform have a long history, motivated in part ...
ABSTRACT. Various weighted Lp (p> 1)–norm inequalities in convolutions were derived by using Höld...
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms t...
AbstractWe present a weighted norm inequality involving convolutions of arbitrary analytic functions...
(L_v)^t (R) = {f: || f ||_v = INTEGRAL: INFINITY, -INFINITY | f(t) | For a large class of weights v ...