Convolution Semigroups of Local Type.
Convolution-dominated integral operators
For a locally compact group G we consider the algebra CD(G) of convolution-dominated operators on L²(G), where an operator A: L²(G) → L²(G) is called convolution-dominated if there exists a ∈ L¹(G) such that for all f ∈ L²(G) |Af(x)| ≤ a⋆|f|(x), for almost all x ∈ G. (1) The case of discrete groups was treated in previous publications [fgl08a, fgl08]. For non-discrete groups we investigate a subalgebra of regular convolution-dominated operators generated by product convolution operators, where the...
Convolutions on compact groups and Fourier algebras of coset spaces
We study two related questions. (1) For a compact group G, what are the ranges of the convolution maps on A(G × G) given for u,v in A(G) by u × v ↦ u*v̌ (v̌(s) = v(s^-1)) and u × v ↦ u*v? (2) For a locally compact group G and a compact subgroup K, what are the amenability properties of the Fourier algebra of the coset space A(G/K)? The algebra A(G/K) was defined and studied by the first named author. In answering the first question, we obtain, for compact groups which do not...
Copies of ’s uniformly in the spaces and
We study the presence of copies of ’s uniformly in the spaces and . By using Dvoretzky’s theorem we deduce that if is an infinite-dimensional Banach space, then contains -uniformly copies of ’s and contains -uniformly copies of ’s for all . As an application, we show that if is an infinite-dimensional Banach space then the spaces and are distinct, extending the well-known result that the spaces and are distinct.
Corner Mellin operators and reduction of orders with parameters
Correct selfadjoint and positive extensions of nondensely defined minimal symmetric operators.
Correction "Almost everywhere summability of eiegnfunction expansion associated to elliptic operators" by Waldemar Hebish, Studia Math. 96(3) 1990, 263-275
Correction to "An index formula for chains" (Studia Math. 116 (1995), 283-294)
Correction to "Approximation with Restricted Spectra".
Correction to "Method od orthogonal projections and approximation of the spectrum of a bounded operator" Studia Math. 65 (1979), 21-29
Correction to my paper: “Existence theorems for operator equations and nonlinear elliptic boundary-value problems” [Comment. Math. Univ. Carolinae 14 (1973), 27-46]
Correction to my paper "On a type of matrix semigroup algebras" .
Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Correction to the paper “Existence of solutions for the Dirichlet problem with superlinear nonlinearities”
Correction to the paper: Random coincidence degree theory with applications to random differential inclusions
Corrections to expose XXIV
Corrections to “Radial limits in co-invariant subspaces"
Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“
In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the weighted...
Corrigenda to: "Optimal domains for the kernel operator associated with Sobolev's inequality" (Studia Math. 158 (2003), 131-152)
Corrigenda to "Unique continuation for Schrödinger operators" and a remark on interpolation of Morrey spaces.
The purpose of this note is twofold. First it is a corrigenda of our paper [RV1]. And secondly we make some remarks concerning the interpolation properties of Morrey spaces.