In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy and BMO-spaces, prove that mappings generate bounded from Hardy–Sobolev to Sobolev spaces.

We are interested in counting integer and rational points in affine algebraic varieties, also under congruence conditions. We introduce the notions of a strongly Hardy-Littlewood variety and a relatively Hardy-Littlewood variety, in terms of counting rational points satisfying congruence conditions. The definition of a strongly Hardy-Littlewood variety is given in such a way that varieties for ...

The Bohm-Gadella theory, sometimes referred to as the Time Asymmetric Quantum Theory of Scattering and Decay, is based on the Hardy axiom. The Hardy axiom asserts that the solutions of the Lippmann-Schwinger equation are functionals over spaces of Hardy functions. The preparation-registration arrow of time provides the physical justification for the Hardy axiom. In this paper, it is shown that ...

In this work, the empirical-Gramian-based model reduction methods: Empirical poor man’s truncated balanced realization, empirical approximate balancing, dominant subspaces, truncation, and gains are compared in a non-parametric two parametric variants, via ten error measures: Approximate Lebesgue \(L_0\), \(L_1\), \(L_2\), \(L_\infty \), Hardy \(H_2\), \(H_\infty Hankel, Hilbert-Schmidt-Hankel,...

We establish the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions for an arbitrary function from Hardy’s space H2,A, A> 0. This gives another version of the Fourier-integral-type theorem for the Lebedev transform. The result is generalized for a weighted Hardy space Ĥ2,A ≡ Ĥ2((−A,A);|Γ(1+Rez+iτ)|2dτ), 0 < A < 1, of analytic functions f(z),z = R...

The parasitoid wasp Pachycrepoideus vindemmiae (Rondani) is a common pupal parasitoid of many fly pests that is distributed worldwide. This organism can be used for biological control in orchards or livestock farms. Identifying polymorphic microsatellite loci would be useful for analyzing the population genetic structure of the parasitoid. In the current study, based on a modified biotin-captur...

Two new species, Sarcophaga (Sarcosolomonia) collessi sp.nov. and Sarcophaga (Sarcorohdendorfia) clavus sp.nov., both collected in Queensland, Australia, are described, and the following four new synonymies are proposed: Sarcophaga horti Blackith and Blackith, 1988 syn.nov. of Sarcophaga bancroftorum Johnston and Tiegs, 1921; Sarcophaga fergusonina Hardy, 1940 syn.nov. of Sarcophaga assimilis M...

The genotypes for calpastatin (CAST) and calpain (CAPN) loci were determined by PCR-RFLP and PCRSSCPmethods. Blood samples were collected from 200 pure-bred Zel sheep from Shirang’s Zel sheep Breeding Station located in south-west of Golestan, Iran. Extraction of genomic DNA was performed based on the modified salting out method. Based on results, two investigated loci were polymorphic an...