We give different types of new characterizations for the boundedness and essential norms generalized weighted composition operators between Zygmund-type spaces. Consequently, we obtain compactness such operators.

In this paper, we completely characterize the compactness of Volterra type integration operators $$J_b$$ acting from weighted Bergman spaces $$A^p_{\alpha }$$ to Hardy $$H^q$$ for all $$0<p,q<\infty $$ . Furthermore, give some estimates essential norms $$J_b:A^p_{\alpha }\rightarrow H^q$$ in case $$0<p\le q<\infty We finally describe membership Schatten(-Herz) class operators.

For the open unit disc $\mathbb{D}$ in complex plane, it is well known that if $\phi \in C(\overline{\mathbb{D}})$ then its Berezin transform $\widetilde{\phi}$ also belongs to $C(\overline{\mathbb{D}})$. We say BC-regular. In this paper we study BC-regularity of some pseudoconvex domains $\mathbb{C}^n$ and show boundary geometry plays an important role. establish a relationship between essenti...

To apply semiotics to organisational analysis and information systems design, it is essential to unite two basic concepts: the sign and the norm. A sign is anything that stands for something else for some community. A norm is a generalised disposition to the world shared by members of a community. When its condition is met, a norm generates a propositional attitude which may, but not necessaril...

This paper is concerned with least squares methods for the numerical solution of operator equations. Our primary focus is the discussion of the following conceptual issues: the selection of appropriate least squares functionals, their numerical evaluation in the special light of recent developments of multiscale and wavelet methods and a natural way of preconditioning the resulting systems of l...

In this paper, we estimate essential norms of weighted composition operators and differences two on the Bergman spaces in unit ball.

The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the time discontinuous Galerkin solution of linear parabolic equations. Such estimates have many applications. They are essential, for example, in establishing optimal a priori error estimates in nonHilbertian norms without unnatural coupling of spatial mesh sizes with tim...

Abstract The paper defends an account of the context-sensitivity norms that draws on resources counterfactual conditionals. combines two assumptions: assumption permission is rule-abiding performance in some contextually relevant situations; and situations are picked out by mechanism selects possible worlds for evaluation explains non-monotonicity permissions solves a puzzle, raised Timothy Wil...