AbstractLetXbe a complex Banach space, and lett→T(t) (‖T(t)‖≤1,t≥0) be a strongly continuous contraction semigroup (onX) with infinitesimal generatorA. This paper proves that -- Formula omitted -- hold for everyx∈D(A4). Inequalities are established also for uniformly bounded strongly continuous semigroups, groups, and cosine functions
We show that certain functional inequalities, e.g. Nash-type and Poincaré-type inequalities, for inf...
AbstractLetEbe a Banach space,B0,…,Bn−1closed linear operators onE, andf: [0,∞)→E. This paper is dev...
AbstractIt is proved that aC0-semigroupT={T(t)}t⩾0of linear operators on a Banach spaceXis uniformly...
AbstractLetXbe a complex Banach space, and lett→T(t) (‖T(t)‖≤1,t≥0) be a strongly continuous contrac...
. 5 .5.Let X be a complex Banach space, and let t ª T t T t F 1, t G 0 be a .strongly continuous con...
AbstractA Landau–Kolmogorov type inequality for generators of a wide class of strongly continuous fa...
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequenc...
AbstractHere we present Hilbert–Pachpatte-type general Lp inequalities regarding semigroups, cosine ...
AbstractLet X,Y be Banach spaces and {T(t):t≥0} be a consistent, equibounded semigroup of linear ope...
AbstractIn this work we present an extension to arbitrary unital Banach algebras of a result due to ...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
AbstractLet T = {T(t)}t ≥ 0 be a C0-semigroup on a Banach space X. In this paper, we study the relat...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractIn this paper we give characterizations of the resolvent set of the generatorAof a strongly ...
We show that certain functional inequalities, e.g. Nash-type and Poincaré-type inequalities, for inf...
AbstractLetEbe a Banach space,B0,…,Bn−1closed linear operators onE, andf: [0,∞)→E. This paper is dev...
AbstractIt is proved that aC0-semigroupT={T(t)}t⩾0of linear operators on a Banach spaceXis uniformly...
AbstractLetXbe a complex Banach space, and lett→T(t) (‖T(t)‖≤1,t≥0) be a strongly continuous contrac...
. 5 .5.Let X be a complex Banach space, and let t ª T t T t F 1, t G 0 be a .strongly continuous con...
AbstractA Landau–Kolmogorov type inequality for generators of a wide class of strongly continuous fa...
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequenc...
AbstractHere we present Hilbert–Pachpatte-type general Lp inequalities regarding semigroups, cosine ...
AbstractLet X,Y be Banach spaces and {T(t):t≥0} be a consistent, equibounded semigroup of linear ope...
AbstractIn this work we present an extension to arbitrary unital Banach algebras of a result due to ...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible lin...
AbstractLet T = {T(t)}t ≥ 0 be a C0-semigroup on a Banach space X. In this paper, we study the relat...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractIn this paper we give characterizations of the resolvent set of the generatorAof a strongly ...
We show that certain functional inequalities, e.g. Nash-type and Poincaré-type inequalities, for inf...
AbstractLetEbe a Banach space,B0,…,Bn−1closed linear operators onE, andf: [0,∞)→E. This paper is dev...
AbstractIt is proved that aC0-semigroupT={T(t)}t⩾0of linear operators on a Banach spaceXis uniformly...
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