We deal with homogeneous Besov and Triebel–Lizorkin spaces in the setting of a doubling
metric measure space in the presence of a non-negative self-adjoint operator whose heat …

We consider Hörmander type symbols on a family of spaces associated with non-negative
self-adjoint operators, and we prove boundedness of the corresponding pseudodifferential …

We consider the general framework of a metric measure space satisfying the doubling
volume property, associated with a non-negative self-adjoint operator, whose heat kernel …

Abstract Let (X, ρ, μ)(X, ρ, μ) be a space of homogeneous type. Suppose that p (⋅),\q (⋅):{X
→ (0, ∞ p (·), q (·): X→(0,∞ are such that both 1/p (⋅) 1/p (·) and 1/q (⋅) 1/q (·) satisfy the …

We propose a new notion of variable bandwidth that is based on the spectral subspaces of
an elliptic operator where p> 0 is a strictly positive function. Denote by the orthogonal …

We consider spaces of homogeneous type associated with a non-negative self-adjoint
operator whose heat kernel satisfies certain upper Gaussian bounds. Spectral multipliers …

We consider the general framework of a metric measure space satisfying the doubling
volume property, associated with a non-negative self-adjoint operator, whose heat kernel …

We lay down the foundation of the theory of spaces of distributions on the product $
X_1\times X_2 $ of doubling metric measure spaces $ X_1 $, $ X_2 $ in the presence of non …

Let L be the generator of an analytic semigroup whose kernels satisfy Gaussian upper
bounds and Hölder's continuity. Also assume that L has a bounded holomorphic functional …

Gaussian upper and lower bounds and Hölder continuity are established for the heat kernel
associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results …