Vector valued T(1) Theorem and Littlewood Paley theory on spaces of homogeneous type

In [14, Theorem 4.2], Fang and Xue set up a fuzzy version of Ascoli theorem which characterized compact subsets of the space C(K, (E 1 , d ∞ )) of all fuzzy-valued continuous

This theorem is compatible, if we choose the theory of homogeneous singular Bott-Chern classes, with the arithmetic Riemann-Roch theorem for closed immersions proved by Bismut,

The Dwellers in the Garden of Allah 109... The Dwellers in the Garden of Allah

Introduction Proof of the T(P) Theorem A geometric condition for the Beurling transform.. A T(1) theorem for Sobolev spaces

It is shown that many properties which hold for the classical space BMO(µ) when µ is a doubling measure remain valid for the space of type BMO introduced in this paper, without

Finally, weincludean appendix with a proof of the John-Nirenberg theorem on spaces of homogeneous type, because it is not easy to find in the literature a proof for the Lebesgue

The moral is that in order to study the regularity of µ-quasiconformal mappings between domains we must take into account both the regularity of the boundary and the regularity of

It should be noted that there is a further notion of Sobolev space, in the more general setting of functions defined on a metric measure space (X, d, µ) and taking values in a