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Beurling-Ahlfors extension by heat kernel, A(infinity)-weights for VMO, and vanishing Carleson measures

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, ; ()

We investigate a variant of the Beurling-Ahlfors extension of quasisymmetric homeomorphisms of the real line that is given by the convolution of the h......

Element orders and character codegrees

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, ; ()

For an irreducible character chi of a finite group G, the codegree of chi is defined by vertical bar G : ker chi vertical bar/chi(1). In this note, we......

A computable analysis of majorizing martingales

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, ; ()

We give upper bounds for several highness properties in computability randomness theory. First, we prove that a certain discrete covering property (wh......

Every bounded pseudo-convex domain with Holder boundary is hyperconvex

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, ; ()

We show that every bounded pseudo-convex domain with Holder boundary in Cn is hyperconvex.

L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (2)

We construct non-trivial L-equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These re......

Normal states are determined by their facial distances

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (3)

Let M be a semi-finite von Neumann algebra with normal state space S(M). For any phi is an element of S(M), let M phi:={x is an element of M:x phi=phi......

Sharp affine isoperimetric inequalities for the Minkowski first mixed volume

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (1)

The sharp bounds for the affine invariant ratio of the mixed cone-volume functional to the Minkowski first mixed volume are obtained, and therefore ne......

Small angle limits of Hamilton's footballs

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2020; 52 (1)

Compact Ricci solitons on surfaces have at most two cone points, and are known as Hamilton's footballs. In this note we completely describe the degene......

Positive solutions of elliptic equations with a strong singular potential

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (2)

In this paper, we study positive solutions of the elliptic equation-Delta u=lambda d(x)alpha u-d(x)sigma upin omega,where alpha>2,sigma>-alpha, ......

JIF:0.77

On the projective normality of cyclic coverings over a rational surface

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (3)

Let S be a rational surface with dim|-KS|> 1 and let pi:X -> S be a ramified cyclic covering from a nonruled smooth surface X. We show that for ......

JIF:0.77

On uniformity of q-multiplicative sequences

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (3)

We show that any q-multiplicative sequence which is oscillating of order 1, that is, does not correlate with linear phase functions e2 pi in alpha (al......

JIF:0.77

Riemannian foliation with exotic tori as leaves

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (4)

We construct smooth fiber bundles such that the fibers are exotic tori and the total space has finite abelian fundamental group. This gives examples o......

JIF:0.77

Conjecture O holds for the odd symplectic Grassmannian

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (4)

Property O, introduced by Galkin et al. for arbitrary complex, Fano manifolds X, is a statement about the eigenvalues of the linear operator obtained ......

JIF:0.77

On a result of Bo(z) over dotejko on extension of positive definite kernels

期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019; 51 (5)

A conceptual probabilistic proof of a result of Bo(z) over dotejko on extension of positive definite kernels is given.

JIF:0.77

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